WOW... hope this record gets acknowledged and you get an entry in the guiness book of world record. And the person Lars mentioned in the video is me, so thank you so much bprp, and thanks to all others wishing me well. I finished the first of 3 chemo rounds, and apart from about 2-3 days, I did quite well on it. If things go well with chemo, I could be free from cancer by the end of April.
Thanks to all of you. When I'm free of cancer, I will let bprp know, and he can let you all know. I have testicular cancer, and my chances of beating and surviving the next 5 years are at 95%, the highest percentage among all cancers. So I consider myself still lucky :)
@@blackpenredpen Yes, when I saw the almost 6 hour mark, it all started to make sense why you were tired, and so on. Don't worry too much about the integral. Take a break, rest a bit and be there for your students :) ... we'll be here. And even if you don't get an entry in a record book, you deserve to feel well about it, and hey, you set a benchmark for someone to challenge your 100 integrals. That's impressive :)
haha when dumb people make a relatable comment, it hurts my soul inside. One person will try to be funny and say something, showing how dumb they are and how they dont think they are better then anything, literally. Then a barrage of others will follow along. Look 4 all of you duuuuuumb bots, math is easy, i dont understand why people think its hard, its just a bunch of measurements
1, Integral of tan^5(x)*sec^3(x), 2:19 2, Integral of cos(2x)/(sin(x)+cos(x)), 5:58 3, Integral of (x^2+1)/(x^4-x^2+1), 8:00 4, Integral of (x+e^x)^2, 12:00 5, Integral of csc^3(x)*sec(x), 14:00 6, Integral of cos(x)/(sin^2(x)-5sin(x)-6), 20:00 7, Integral of 1/sqrt(e^x), 23:38 8, Integral of e^x*sqrt(e^x-1)/(e^x+3), 25:51 9, Integral of 1/(x+sqrt(x)), 32:04 10, Integral of abs(x-3) from -1 to 5, 34:39 11, Integral of sin(x)/sec^2019(x), 37:19 12, Integral of x*sin^-1(x)/sqrt(1-x^2), 39:00 13, Integral of 2sin(x)/sin(2x), 43:06 14, Integral of cos^2(2x), 45:36 15, Integral of 1/(x^3+1), 47:55 16, Integral of x*sin^2(x), 1:01:07 17, Integral of (x+1/x)^2, 1:04:45 18, Integral of 3/(x^2+4x+29), 1:06:00 19, Integral of cot^5(x), 1:08:08 20, Integral of tan(x)/(x^4-x^2+1) from -1 to 1, 1:12:06 21, Integral of sin^3(x)*cos^2(x), 1:13:43 22, Integral of 1/(x^2*sqrt(x^2+1)), 1:16:16 23, Integral of sin(x)*sec(x)*tan(x), 1:20:15 24, Integral of sec^3(x), 1:21:30 25, Integral of 1/(x*sqrt(9x^2-1)), 1:25:30 Thanks to GaMeR 123 26. 1:29:48 integral of cos(sqrt x) 27. 1:31:35 integral of cosec x 28. 1:34:09 integral of sqrt(x^2+4x+13) 29. 1:43:26 integral of e^2x*cosx 30. 1:46:43 integral of (x-3)^9 from 3 to 5 31. 1:49:32 integral of (x-x^(3/2))^-1/2 32. 1:52:37 integral of (x-x^2)^-1/2 33. 1:56:03 integral of e^(2lnx) 34. 1:56:57 integral of lnx/sqrt x 35. 2:00:32 integral of 1/e^x+e^-x 36. 2:01:57 integral of log(x) base 2 37. 2:05:15 integral of x^3*sin2x 38. 2:08:32 integral of x^2[1+x^3]^1/3 39. 2:12:30 40. 2:19:38 integral of sqrt(x^2-1) from 1 to 2 41. 2:27:29 integral of sinh(x) 42. 2:28:50 integral of (sinhx)^2 43. 2:32:53 integral of (sinhx)^3 44. 2:35:03 integral of 1/sqrt(x^2 + 1) 45. 2:36:34 integral of ln(x + sqrt(x^2 + 1) 46. 2:39:23 integral of tanh(x) 47. 2:40:59 integral of sech(x) 48. 2:48:37 integral of tanh inverse of x 49. 2:43:15 integral of sqrt(tanhx) 50. 2:51:20 integral of [x] from 0 to 5 51. 2:53:40 integral of (secx)^6 BIG thanks to Angel Mendez-Rivera 52, Integral of 1/(5x - 2)^4, 2:55:51 53, Integral of ln(1 + x^2), 2:57:18 54, Integral of 1/(x^4 + x), 3:00:42 55, Integral of (1 - tan(x))/(1 + tan(x)), 3:03:09 56, Integral of x·sec(x)·tan(x), 3:05:08 57, Integral of arcsec(x), 3:06:45 58, Integral of (1 - cos(x))/(1 + cos(x)), 3:11:20 59, Integral of (x^2)sqrt(x + 4), 3:14:46 60, Integral of sqrt(4 - x^2) from -1 to 1, 3:18:38 61, Integral of sqrt(x^2 + 4x), 3:25:10 62, Integral of (x^2)e^(x^3), 3:36:48 63, Integral of (x^3)e^(x^2), 3:37:27 64, Integral of tan(x)ln(cos(x)), 3:39:55 65, Integral of 1/(x^3 - 4x^2), 3:42:11 66, Integral of sin(x)cos(2x), 3:50:00 67, Integral of 2^ln(x), 3:58:06 68, Integral of sqrt(1+cos(2x)), 4:01:21 69, Integral of 1/(1+tan(x)), 4:02:40 70, Integral of sqrt(1- ln(x)^2)/x from 1/e to e, 4:07:13 71-72, Integral of 1/(cbrt(x)+1) & Integral of 1/cbrt(x + 1), 4:10:30 73, Integral of (sin(x)+cos(x))^2, 4:14:10 74, Integral of 2xln(1 x), 4:16:00 75, Integral of 1/(x(1+sin(ln(x))^2)), 4:19:34 76, Integral of sqrt((1-x)/(1+x)), 4:25:48 77, Integral of x^(x/ln(x)), 4:27:52 78, Integral of arcsin(sqrt(x)), 4:29:12 79, Integral of arctan(x), 4:39:16 80, Integral of f(x) from 0 to 5, f(x) is a piecewise function, 4:41:32 81, Integral of sin(1/x)/x^3, 4:44:11 82, Integral of (x-1)/(x^4-1), 4:47:18 83, Integral of sqrt(1+(x-1/(4x))^2), 4:52:49 84, Integral of e^tan(x)/(1-sin(x)^2), 4:55:17 85, Integral of arctan(x)/x^2, 4:56:12 86, Integral of arctan(x)/(1+x^2), 5:00:28 87, Integral of ln(x)^2, 5:02:32 88, Integral of sqrt(x^2+4)/x^2, 5:06:39 89, Integral of sqrt(x + 4)/x, 5:13:46 90, Integral of sin(x)^3/(cos(x)^3 + sin(x)^3) from 0 to π/2, 5:18:03 91, Integral of x/(1 + x^4), 5:19:13 92, Integral of e^sqrt(x), 5:20:07 93, Integral of 1/csc(x)^3, 5:21:37 94, Integral of arcsin/sqrt(1 - x^2), 5:24:16 95, Integral of sqrt(1 + sin(2x)), 5:24:58 96, Integral of x^(1/4), 5:26:22 97, Integral of 1/(1 + e^x), 5:27:47 98, Integral of sqrt(1 + e^x), 5:29:13 99, Integral of sqrt(tan(x))/sin(2x), 5:34:43 100, Integral of 1/(1 + sin(x) from 0 to π/2, 5:39:16 101, Integral of sin(x)/x + ln(x)cos(x), 5:45:39 I only copied from the description of the video, for easy access. Thanks for the likes, they were not necessary. 👋
Time stamps! Here are the time stamps: [Q1 to Q25, myself] Q1 Integral of tan^5(x)*sec^3(x), 2:19 Q2 Integral of cos(2x)/(sin(x)+cos(x)), 5:58 Q3 Integral of (x^2+1)/(x^4-x^2+1), 8:00 Q4 Integral of (x+e^x)^2, 12:00 Q5 Integral of csc^3(x)*sec(x), 14:00 Q6 Integral of cos(x)/(sin^2(x)-5sin(x)-6), 20:00 Q7 Integral of 1/sqrt(e^x), 23:38 Q8 Integral of e^x*sqrt(e^x-1)/(e^x+3), 25:51 Q9 Integral of 1/(x+sqrt(x)), 32:04 Q10 Integral of abs(x-3) from -1 to 5, 34:39 Q11 Integral of sin(x)/sec^2019(x), 37:19 Q12 Integral of x*sin^-1(x)/sqrt(1-x^2), 39:00 Q13 Integral of 2sin(x)/sin(2x), 43:06 Q14 Integral of cos^2(2x), 45:36 Q15 Integral of 1/(x^3+1), 47:55 Q16 Integral of x*sin^2(x), 1:01:07 Q17 Integral of (x+1/x)^2, 1:04:45 Q18 Integral of 3/(x^2+4x+29), 1:06:00 Q19 Integral of cot^5(x), 1:08:08 Q20 Integral of tan(x)/(x^4-x^2+1) from -1 to 1, 1:12:06 Q21 Integral of sin^3(x)*cos^2(x), 1:13:43 Q22 Integral of 1/(x^2*sqrt(x^2+1)), 1:16:16 Q23 Integral of sin(x)*sec(x)*tan(x), 1:20:15 Q24 Integral of sec^3(x), 1:21:30 Q25 Integral of 1/(x*sqrt(9x^2-1)), 1:25:30 [26 to 51, thanks to GaMeR 123] 26. 1:29:48 integral of cos(sqrt x) 27. 1:31:35 integral of cosec x 28. 1:34:09 integral of sqrt(x^2+4x+13) 29. 1:43:26 integral of e^2x*cosx 30. 1:46:43 integral of (x-3)^9 from 3 to 5 31. 1:49:32 integral of (x-x^(3/2))^-1/2 32. 1:52:37 integral of (x-x^2)^-1/2 33. 1:56:03 integral of e^(2lnx) 34. 1:56:57 integral of lnx/sqrt x 35. 2:00:32 integral of 1/e^x+e^-x 36. 2:01:57 integral of logx base 2 37. 2:05:15 integral of x^3*sin2x 38. 2:08:32 integral of x^2[1+x^3]^1/3 39. 2:12:30 integral of 1/(x^2 + 4)^2 40. 2:19:38 integral of sqrt(x^2-1) from 1 to 2 41. 2:27:29 integral of sinh(x) 42. 2:28:50 integral of (sinhx)^2 43. 2:32:53 integral of (sinhx)^3 44. 2:35:03 integral of 1/sqrt(x^2 + 1) 45. 2:36:34 integral of ln(x + sqrt(x^2 + 1) 46. 2:39:23 integral of tanhx 47. 2:40:59 integral of sechx 48. 2:48:37 integral of tanh inverse of x 49. 2:43:15 integral of sqrt(tanhx) 50. 2:51:20 integral of [x] from 0 to 5 51. 2:53:40 integral of (secx)^6 [Q52 to Q101, BIG thanks to Angel Mendez-Rivera] Q52, Integral of 1/(5x - 2)^4, 2:55:51 Q53, Integral of ln(1 + x^2), 2:57:18 Q54, Integral of 1/(x^4 + x), 3:00:42 Q55, Integral of (1 - tan(x))/(1 + tan(x)), 3:03:09 Q56, Integral of x·sec(x)·tan(x), 3:05:08 Q57, Integral of arcsec(x), 3:06:45 Q58, Integral of (1 - cos(x))/(1 + cos(x)), 3:11:20 Q59, Integral of (x^2)sqrt(x + 4), 3:14:46 Q60, Integral of sqrt(4 - x^2) from -1 to 1, 3:18:38 Q61, Integral of sqrt(x^2 + 4x), 3:25:10 Q62, Integral of (x^2)e^(x^3), 3:36:48 Q63, Integral of (x^3)e^(x^2), 3:37:27 Q64, Integral of tan(x)ln(cos(x)), 3:39:55 Q65, Integral of 1/(x^3 - 4x^2), 3:42:11 Q66, Integral of sin(x)cos(2x), 3:50:00 Q67, Integral of 2^ln(x), 3:58:06 Q68, Integral of sqrt(1 + cos(2x)), 4:01:21 Q69, Integral of 1/(1 + tan(x)), 4:02:40 Q70, Integral of sqrt(1 - ln(x)^2)/x from 1/e to e, 4:07:13 Q71-72, Integral of 1/(cbrt(x) + 1) & Integral of 1/cbrt(x + 1), 4:10:30 Q73, Integral of (sin(x) + cos(x))^2, 4:14:10 Q74, Integral of 2xln(1 + x), 4:16:00 Q75, Integral of 1/(x(1 + sin(ln(x))^2)), 4:19:34 Q76, Integral of sqrt((1 - x)/(1 + x)), 4:25:48 Q77, Integral of x^(x/ln(x)), 4:27:52 Q78, Integral of arcsin(sqrt(x)), 4:29:12 Q79, Integral of arctan(x), 4:39:16 Q80, Integral of f(x) from 0 to 5, f(x) = 10 if x < 2 or x = 2, f(x) = 3x^2 - 2 if x > 2, 4:41:32 Q81, Integral of sin(1/x)/x^3, 4:44:11 Q82, Integral of (x - 1)/(x^4 - 1), 4:47:18 Q83, Integral of sqrt(1 + (x - 1/(4x))^2), 4:52:49 Q84, Integral of e^tan(x)/(1 - sin(x)^2), 4:55:17 Q85, Integral of arctan(x)/x^2, 4:56:12 Q86, Integral of arctan(x)/(1 + x^2), 5:00:28 Q87, Integral of ln(x)^2, 5:02:32 Q88, Integral of sqrt(x^2 + 4)/x^2, 5:06:39 Q89, Integral of sqrt(x + 4)/x, 5:13:46 Q90, Integral of sin(x)^3/(cos(x)^3 + sin(x)^3) from 0 to π/2, 5:18:03 Q91, Integral of x/(1 + x^4), 5:19:13 Q92, Integral of e^sqrt(x), 5:20:07 Q93, Integral of 1/csc(x)^3, 5:21:37 Q94, Integral of arcsin/sqrt(1 - x^2), 5:24:16 Q95, Integral of sqrt(1 + sin(2x)), 5:24:58 Q96, Integral of x^(1/4), 5:26:22 Q97, Integral of 1/(1 + e^x), 5:27:47 Q98, Integral of sqrt(1 + e^x), 5:29:13 Q99, Integral of sqrt(tan(x))/sin(2x), 5:34:43 Q100, Integral of 1/(1 + sin(x) from 0 to π/2, 5:39:16 Q101, Integral of sin(x)/x + ln(x)cos(x), 5:45:39
The fact that he explained every integral with a detailed step by step rather than doing some of the steps in his head is crazy to me. Great job man, truly showing how math can be enjoyable
He didn’t explain all of them, the middle part of the video he doesn’t talk a lot, and math just ain’t enjoyable. It’s frustrating if you don’t understand something, and even when you learn it, it only feels good for the moment you learn it, then it goes back to being a pain in the ass to do
@@2kmichaeljordan438 that’s because people view math as a chore instead of having genuine interest in it, which isn’t really an issue since you can have other interests. People like the challenge of figuring out a difficult math problem and others don’t.
@@2kmichaeljordan438 math is enjoyable, if u suck at it it’s not its problem, it’s yours + ofc anything u don’t understand will be frustrating not only math, and at the end of the day it depends on the person, everyone has his interest, not everyone will like and enjoy the same things
for question 12 I used sub x=sin(u) and the sqrt(1-x^2) on the bottom cancels nicely with the derivative of sinu, cosu to just get the intergral of usinu which is simple by parts, but your solution was also very nice.
Other time stamps (26-61)[1-25 are in description] 26. 1:29:48 integral of cos(sqrt x) 27. 1:31:35 integral of cosec x 28. 1:34:09 integral of sqrt(x^2+4x+13) 29. 1:43:26 integral of e^2x*cosx 30. 1:46:43 integral of (x-3)^9 from 3 to 5 31. 1:49:32 integral of (x-x^(3/2))^-1/2 32. 1:52:37 integral of (x-x^2)^-1/2 33. 1:56:03 integral of e^(2lnx) 34. 1:56:57 integral of lnx/sqrt x 35. 2:00:32 integral of 1/e^x+e^-x 36. 2:01:57 integral of logx base 2 37. 2:05:15 integral of x^3*sin2x 38. 2:08:32 integral of x^2[1+x^3]^1/3 39. 2:12:30 integral of 1/(x^2 + 4)^2 40. 2:19:38 integral of sqrt(x^2-1) from 1 to 2 41. 2:27:29 integral of sinhx 42. 2:28:50 integral of (sinhx)^2 43. 2:32:53 integral of (sinhx)^3 44. 2:35:03 integral of 1/sqrt(x^2 + 1) 45. 2:36:34 integral of ln(x + sqrt(x^2 + 1) 46. 2:39:23 integral of tanhx 47. 2:40:59 integral of sechx 48. 2:48:37 integral of tanh inverse of x 49. 2:43:15 integral of sqrt(tanhx) 50. 2:51:20 integral of [x] from 0 to 5 51. 2:53:40 integral of (secx)^6 52. 2:55:39 integral of 1/(5x-2)^4 53. 2:57:11 integral of ln(1+x^2) 54. 3:00:38 integral of 1/x^4+x 55. 3:02:59 integral of (1-tanx)/1+tanx 56. 3:04:54 integral of xsecxtanx 57. 3:06:32 integral of sec inverse of x 58. 3:11:13 integral of (1-cosx)/1+cosx 59. 3:14:38 integral of x^2*sqrt(x+4) 60. 3:18:18 integral of sqrt(4-x^2) from -1 to 1 61. 3:24:57 integral of sqrt(x^2 + 4x)
it’s honestly such a wonderful thing to see that he is still liking comments to this day. that is so rare nowadays, i appreciate people like you and there’s needs to be more. ❤️
Amazing to see how many views its still getting u got 850 likes on this comment in 4 DAYS not counting how many saw your comment w/o liking it AND people who didnt even go to the comments. Hopefully math becomes cool again
How could you dislike this video. This guy makes me so happy. The way he says how much he loves his gf and sends wishes to the guy battling cancer warms my heart. He is truly a magical mathematician, and a marvellous human being
Thank you. For the exercise 31 you've made -2*2=1; the response is -4*square(1-square(x)) + c. I think it's because tiredness. Anyway thank you for your work.
I love how he’s already figured out how to do the integral before he’s even finished writing it on the board, but he’s explains what he’s doing for our benefit. What a legend.
i love the way he switches markers😂 i know it seems silly but it just shows how passionate and dedicated he is about this. he’s been doing it 4 so long!
@@user-xw4mu6nz4t th-cam.com/video/6gOzuZ3bA_I/w-d-xo.html th-cam.com/users/livezlC8QAG2mCc?feature=share th-cam.com/users/liveDjah0NdVJpg?feature=share What are your thoughts on it? 800 fucking slides
Wow, this truly cuts deep. My father was a mathematician before his passing, and he always wanted me to become a great man with a prosperous future in math. Everyday I look forward to your videos as they give me memories of my father working late at night. Thank you.
@@carlosmatosfanpage2856 Well you know about curves (or functions) like y = x^2 that you can plot? Well you can integrate a function like x^2 and it will make a new function, namely (1/3)x^3. Then you can use this function to calculate the area under the curve between x=a and x=b and the x-axis. It would really help to understand the differentiation process first, since this is simpler and its actually the opposite process to integration, so they are fundamentally connected via the fundamental theorem of calculus.
Can we just appreciate 1: this mans insane math skills, 2: the fact he has 2 markers in 1 hand while maintaining coherent writing, and 3: the fact he explains *every single problem* so well that my small brain can understand it.
I'm studying for a re-take of my calculus final that my professor was generous enough to provide. I'm extremely concerned because it's my last chance to get an A and I feel like this video is a great immersive way to make sure I've grounded every single method. Today is Day 2 of going through this video. I've done up to 20 questions so far. I'll be editing this comment to hold myself accountable. #5 was seriously a rough one, but even that problem was possible to solve with your step-by-step guidance. Thanks for everything, BPRP! Edit: I've made it up to 30 questions. I was really confident about #28 at first, but I had to watch the explanation several times to actually understand it. Are we just supposed to memorize when sec^3(theta) is integrated into and then replace those values by returning to the "x world"? A bit confusing, but memorization of an equation is no problem. We'll see how it goes tomorrow. (Could someone tell me HOW BPRP knew to write sin at 1:55:24 ? That means that he put "u" as cosine, right? Because the sqrt (1 - cos^2x) = sin x. But how did he decide to set "u" equal to cos and thus, get sin (or inverse sin, I guess) in his final answer? Edit: We've made it all the way to 46 questions and although I'm so close to the halfway mark, I can't bring myself to do another integral. Again, BPRP is amazing! I hadn't solved sinh(x) and cosh(x) questions in a long time so this was a really good refresher. Also, #40 was so challenging and I can't believe that someone would CREATE and SOLVE it voluntarily. I have no words. We will pass halfway tomorrow!! Edit: Today is a review day. I've made it to 50 and now, I'm going to attempt 1~25 on my own- without any help unless I really need it. #48, 49, and 50 were incredibly thorough. I don't think that we will be tested on tanh(x) or sech(x) questions, but since they're included in this video, I feel prepared. Honestly, I've only done halfway and I had a span of 5 days. It's crazy how BPRP did of this in roughly six hours. Edit: We've made it to 63. Not gonna lie, I'm getting pretty sick of integrals. I feel like 60 should be plenty of practice and I'm not exactly sure why I'm putting myself through this. We will try to push to 70 tomorrow. Yeesh. We made it to 70. I feel like giving up now would be pathetic, so I'll keep going. But I am really not enjoying this anymore. Regardless, there are some individual questions that are exciting. I remembered the double angle formula for #68 (around 4:01:00) and it was exciting to be able to solve that one on my own. Tomorrow is my parent's anniversary so I may be busy, but let's aim for 80 !! Agh, almost done Done with 80! To be honest, #72 was quite beautiful to solve, but the rest were painful. Looking forward to being done!!!! Done with 90- we'll be completely finished tomorrow. Can't wait. My stamina needs work :/ FINISHED WITH 100 !!! (Ah I forgot to update) My final is partially going to be on series + finding the radius/interval of convergence as well as integrals, so I've been practicing the 100 series video + other tutorials on TH-cam. MIT OpenCourseWare has been a great tool for critical comprehension. I have a bit less than a week until my test, so during the last few days, I'll be making practice exams for myself and solving them in a timed environment. Until then, I'll keep doing 10-20 practice problems per day. (I seldom prepare this far in advance nor this thoroughly for a test, but honestly this is teaching me great learning habits! Perhaps I'll apply this to my classes during the approaching school year. ) I'll update this comment on how the actual test goes ! The retake went alright! To be completely honest, I didn't get the score I was looking for. I was looking for a 100 so it's a bit shameful to say, but I nearly fucked up again. However, I got a score that was just a few points above the good-enough standard and my grade improved, so I was able to take Linear Algebra this semester and I enjoyed it a lot. (It's way more abstract.. yet easier than Calc II to grasp in my opinion. The applications are a lot more concrete.) Thanks, BPRP :) You're one of the few people who prevent me from entirely despising math.
At around 3:00:10 you asked how I am doing Man, it's been a rough couple of weeks. It feels like the university doesn't wanna test what I know, but instead they wanna see if they can catch me out on things I don't know well enough. It's overwhelming and difficult to stay ahead of the workload, but I'm staying positive and doing my best all the way. They'll never get me down. Thank you for asking. How are you doing?
Werner Steyn wow you are the first one who actually noticed that part!! Thank you. Yes, just like you said, stay positive. Keep putting in the effort and I wish you a successful semester!
I ACTUALLY UNDERSTAND WHAT HES DOING :)))). I tried watching this last year prior to taking calc 1, but since i already took it, i understand now. THIS IS ACTUALLY KINDA FUN TO WATCH!
There's so many good moments in this video. He asks how I'm doing, checks up and says the video is for Lars numerous times, just what a nice guy overall. Actually watching this video over the course of a week lord help me...
can’t thank you enough man you’re truly a blessing. if all math professors had this same level of dedication to teaching their students math would almost be easy. thank you for all your hard work boss we appreciate it!
For question 59 (3:14:33), I tried integration by parts and I got the same answer. It is probably slower but it's the first thing I thought of. When I did this, I got (2/3)*x^2*(x+4)^(3/2) - (8/15)*x*(x+4)^(5/2) + (16/105)*(x+4)^(7/2)+C which desmos says is the same answer. Love the vids ❤️
This is the first time in 2 years that I'm actually starting to 'think' when solving integrals. Up to recently it was just a kind of 'go with the momentum' way of solving, or a painting by numbers style where I was going by purely the 'standard' way of approaching simpler integrals, which often led to walking into dead ends. Now I'm actually trying to see how to approach things thanks to watching your thought process. And it has started to work because, going into my lecture handouts I'm able to solve a lot of the integrals much more easily than before and I'm actually aware of 'why' I'm choosing a particular strategy. I know I 'rant' but I can't thank you enough for how much this is helping me. I was losing my mind and now I've started to enjoy this subject again and the magic of maths is returning.
Here are the time stamps: [Q1 to Q25, myself] Q1 Integral of tan^5(x)*sec^3(x), 2:19 Q2 Integral of cos(2x)/(sin(x)+cos(x)), 5:58 Q3 Integral of (x^2+1)/(x^4-x^2+1), 8:00 Q4 Integral of (x+e^x)^2, 12:00 Q5 Integral of csc^3(x)*sec(x), 14:00 Q6 Integral of cos(x)/(sin^2(x)-5sin(x)-6), 20:00 Q7 Integral of 1/sqrt(e^x), 23:38 Q8 Integral of e^x*sqrt(e^x-1)/(e^x+3), 25:51 Q9 Integral of 1/(x+sqrt(x)), 32:04 Q10 Integral of abs(x-3) from -1 to 5, 34:39 Q11 Integral of sin(x)/sec^2019(x), 37:19 Q12 Integral of x*sin^-1(x)/sqrt(1-x^2), 39:00 Q13 Integral of 2sin(x)/sin(2x), 43:06 Q14 Integral of cos^2(2x), 45:36 Q15 Integral of 1/(x^3+1), 47:55 Q16 Integral of x*sin^2(x), 1:01:07 Q17 Integral of (x+1/x)^2, 1:04:45 Q18 Integral of 3/(x^2+4x+29), 1:06:00 Q19 Integral of cot^5(x), 1:08:08 Q20 Integral of tan(x)/(x^4-x^2+1) from -1 to 1, 1:12:06 Q21 Integral of sin^3(x)*cos^2(x), 1:13:43 Q22 Integral of 1/(x^2*sqrt(x^2+1)), 1:16:16 Q23 Integral of sin(x)*sec(x)*tan(x), 1:20:15 Q24 Integral of sec^3(x), 1:21:30 Q25 Integral of 1/(x*sqrt(9x^2-1)), 1:25:30 [26 to 51, thanks to GaMeR 123] 26. 1:29:48 integral of cos(sqrt x) 27. 1:31:35 integral of cosec x 28. 1:34:09 integral of sqrt(x^2+4x+13) 29. 1:43:26 integral of e^2x*cosx 30. 1:46:43 integral of (x-3)^9 from 3 to 5 31. 1:49:32 integral of (x-x^(3/2))^-1/2 32. 1:52:37 integral of (x-x^2)^-1/2 33. 1:56:03 integral of e^(2lnx) 34. 1:56:57 integral of lnx/sqrt x 35. 2:00:32 integral of 1/e^x+e^-x 36. 2:01:57 integral of logx base 2 37. 2:05:15 integral of x^3*sin2x 38. 2:08:32 integral of x^2[1+x^3]^1/3 39. 2:12:30 integral of 1/(x^2 + 4)^2 40. 2:19:38 integral of sqrt(x^2-1) from 1 to 2 41. 2:27:29 integral of sinh(x) 42. 2:28:50 integral of (sinhx)^2 43. 2:32:53 integral of (sinhx)^3 44. 2:35:03 integral of 1/sqrt(x^2 + 1) 45. 2:36:34 integral of ln(x + sqrt(x^2 + 1) 46. 2:39:23 integral of tanhx 47. 2:40:59 integral of sechx 48. 2:48:37 integral of tanh inverse of x 49. 2:43:15 integral of sqrt(tanhx) 50. 2:51:20 integral of [x] from 0 to 5 51. 2:53:40 integral of (secx)^6 [Q52 to Q101, BIG thanks to Angel Mendez-Rivera] Q52, Integral of 1/(5x - 2)^4, 2:55:51 Q53, Integral of ln(1 + x^2), 2:57:18 Q54, Integral of 1/(x^4 + x), 3:00:42 Q55, Integral of (1 - tan(x))/(1 + tan(x)), 3:03:09 Q56, Integral of x·sec(x)·tan(x), 3:05:08 Q57, Integral of arcsec(x), 3:06:45 Q58, Integral of (1 - cos(x))/(1 + cos(x)), 3:11:20 Q59, Integral of (x^2)sqrt(x + 4), 3:14:46 Q60, Integral of sqrt(4 - x^2) from -1 to 1, 3:18:38 Q61, Integral of sqrt(x^2 + 4x), 3:25:10 Q62, Integral of (x^2)e^(x^3), 3:36:48 Q63, Integral of (x^3)e^(x^2), 3:37:27 Q64, Integral of tan(x)ln(cos(x)), 3:39:55 Q65, Integral of 1/(x^3 - 4x^2), 3:42:11 Q66, Integral of sin(x)cos(2x), 3:50:00 Q67, Integral of 2^ln(x), 3:58:06 Q68, Integral of sqrt(1 + cos(2x)), 4:01:21 Q69, Integral of 1/(1 + tan(x)), 4:02:40 Q70, Integral of sqrt(1 - ln(x)^2)/x from 1/e to e, 4:07:13 Q71-72, Integral of 1/(cbrt(x) + 1) & Integral of 1/cbrt(x + 1), 4:10:30 Q73, Integral of (sin(x) + cos(x))^2, 4:14:10 Q74, Integral of 2xln(1 + x), 4:16:00 Q75, Integral of 1/(x(1 + sin(ln(x))^2)), 4:19:34 Q76, Integral of sqrt((1 - x)/(1 + x)), 4:25:48 Q77, Integral of x^(x/ln(x)), 4:27:52 Q78, Integral of arcsin(sqrt(x)), 4:29:12 Q79, Integral of arctan(x), 4:39:16 Q80, Integral of f(x) from 0 to 5, f(x) = 10 if x < 2 or x = 2, f(x) = 3x^2 - 2 if x > 2, 4:41:32 Q81, Integral of sin(1/x)/x^3, 4:44:11 Q82, Integral of (x - 1)/(x^4 - 1), 4:47:18 Q83, Integral of sqrt(1 + (x - 1/(4x))^2), 4:52:49 Q84, Integral of e^tan(x)/(1 - sin(x)^2), 4:55:17 Q85, Integral of arctan(x)/x^2, 4:56:12 Q86, Integral of arctan(x)/(1 + x^2), 5:00:28 Q87, Integral of ln(x)^2, 5:02:32 Q88, Integral of sqrt(x^2 + 4)/x^2, 5:06:39 Q89, Integral of sqrt(x + 4)/x, 5:13:46 Q90, Integral of sin(x)^3/(cos(x)^3 + sin(x)^3) from 0 to π/2, 5:18:03 Q91, Integral of x/(1 + x^4), 5:19:13 Q92, Integral of e^sqrt(x), 5:20:07 Q93, Integral of 1/csc(x)^3, 5:21:37 Q94, Integral of arcsin/sqrt(1 - x^2), 5:24:16 Q95, Integral of sqrt(1 + sin(2x)), 5:24:58 Q96, Integral of x^(1/4), 5:26:22 Q97, Integral of 1/(1 + e^x), 5:27:47 Q98, Integral of sqrt(1 + e^x), 5:29:13 Q99, Integral of sqrt(tan(x))/sin(2x), 5:34:43 Q100, Integral of 1/(1 + sin(x) from 0 to π/2, 5:39:16 Q101, Integral of sin(x)/x + ln(x)cos(x), 5:45:39
**Mistakes Time Stamps** ViperDaniel: "33:39 shouldn't that be a du? :)" Dylans17 " Uh oh, -2 times 2 equals -4 not -1, 1:52:05" Asok Mc: "5:16:56 you can not remove the absolute value because, for example, if x equals -3 the result of the logarithm would be negative" For a detailed explanation for Q90. Please see th-cam.com/video/9xaGYqiOkPM/w-d-xo.html
![[MV] A leap of faith...ความเชื่อใจครั้งสุดท้าย (From "Petrichor the series")](/img/n.gif)
WOW... hope this record gets acknowledged and you get an entry in the guiness book of world record. And the person Lars mentioned in the video is me, so thank you so much bprp, and thanks to all others wishing me well. I finished the first of 3 chemo rounds, and apart from about 2-3 days, I did quite well on it. If things go well with chemo, I could be free from cancer by the end of April.
👍👍👍
Dude, best of luck, I hope it all works out for you.
Best wishes, man. Cancer is an asshole, so make sure you beat it!
Thanks to all of you. When I'm free of cancer, I will let bprp know, and he can let you all know. I have testicular cancer, and my chances of beating and surviving the next 5 years are at 95%, the highest percentage among all cancers. So I consider myself still lucky :)
@@blackpenredpen Yes, when I saw the almost 6 hour mark, it all started to make sense why you were tired, and so on. Don't worry too much about the integral. Take a break, rest a bit and be there for your students :) ... we'll be here. And even if you don't get an entry in a record book, you deserve to feel well about it, and hey, you set a benchmark for someone to challenge your 100 integrals. That's impressive :)
If you watch the video reverse, you learn the derivative.
Kes
@@harveyspecter9663 Sie
@@harveyspecter9663 iki saat kes ne demek diye dusundum ajaksnsn
Yes 😅
This should be top comment :D
Please, differentiate all the results in one take to check
LMFAOO
Lol
This comment saved my day. Really!
HAHAHAHAHA!!!
How to diffrenciate the answer of a definite integral :P
My man never forgotten to put the “dx” and “+C”
Yes 😂👍🏽
As you never should
Who are all used to forgot +c at last like me🤣🤣
So true.... I never put while solving.. It's kinda frustrating I guess...
i didnt put the + C today 🤦♂️
I love that you didn't just solve them, you also explained everything!
Thank you.
Cómo estáa?
Love ur music 🎵🎶
@@pedroguzman9020Estoi bein y usted?
wtf.. he also explain his steps for every question...
Yup!!! : )
Of course
and uses different colors
I like it cause I’m kind of bad at integrals and it helps me learn
Redcxx teachers jobs r nuts
I, on the other hand, can do 1 integral in 100 takes!
Me too but with 100 different answers 😂
@@bananabananae not very difficult, as c can take any value each time!
haha when dumb people make a relatable comment, it hurts my soul inside. One person will try to be funny and say something, showing how dumb they are and how they dont think they are better then anything, literally. Then a barrage of others will follow along.
Look 4 all of you duuuuuumb bots, math is easy, i dont understand why people think its hard, its just a bunch of measurements
@@glilyjebamalardaviitkharag8763 caught that well...👍
Thomae function
it's MY sleepover and I get to choose the movie
I would always hang out with you if you actually play this at sleepover 😂
@@rkadarshkumar999count me in 😂
@@rkadarshkumar999same, I'd love to too❤
1, Integral of tan^5(x)*sec^3(x), 2:19
2, Integral of cos(2x)/(sin(x)+cos(x)), 5:58
3, Integral of (x^2+1)/(x^4-x^2+1), 8:00
4, Integral of (x+e^x)^2, 12:00
5, Integral of csc^3(x)*sec(x), 14:00
6, Integral of cos(x)/(sin^2(x)-5sin(x)-6), 20:00
7, Integral of 1/sqrt(e^x), 23:38
8, Integral of e^x*sqrt(e^x-1)/(e^x+3), 25:51
9, Integral of 1/(x+sqrt(x)), 32:04
10, Integral of abs(x-3) from -1 to 5, 34:39
11, Integral of sin(x)/sec^2019(x), 37:19
12, Integral of x*sin^-1(x)/sqrt(1-x^2), 39:00
13, Integral of 2sin(x)/sin(2x), 43:06
14, Integral of cos^2(2x), 45:36
15, Integral of 1/(x^3+1), 47:55
16, Integral of x*sin^2(x), 1:01:07
17, Integral of (x+1/x)^2, 1:04:45
18, Integral of 3/(x^2+4x+29), 1:06:00
19, Integral of cot^5(x), 1:08:08
20, Integral of tan(x)/(x^4-x^2+1) from -1 to 1, 1:12:06
21, Integral of sin^3(x)*cos^2(x), 1:13:43
22, Integral of 1/(x^2*sqrt(x^2+1)), 1:16:16
23, Integral of sin(x)*sec(x)*tan(x), 1:20:15
24, Integral of sec^3(x), 1:21:30
25, Integral of 1/(x*sqrt(9x^2-1)), 1:25:30
Thanks to GaMeR 123
26. 1:29:48 integral of cos(sqrt x)
27. 1:31:35 integral of cosec x
28. 1:34:09 integral of sqrt(x^2+4x+13)
29. 1:43:26 integral of e^2x*cosx
30. 1:46:43 integral of (x-3)^9 from 3 to 5
31. 1:49:32 integral of (x-x^(3/2))^-1/2
32. 1:52:37 integral of (x-x^2)^-1/2
33. 1:56:03 integral of e^(2lnx)
34. 1:56:57 integral of lnx/sqrt x
35. 2:00:32 integral of 1/e^x+e^-x
36. 2:01:57 integral of log(x) base 2
37. 2:05:15 integral of x^3*sin2x
38. 2:08:32 integral of x^2[1+x^3]^1/3
39. 2:12:30
40. 2:19:38 integral of sqrt(x^2-1) from 1 to 2
41. 2:27:29 integral of sinh(x)
42. 2:28:50 integral of (sinhx)^2
43. 2:32:53 integral of (sinhx)^3
44. 2:35:03 integral of 1/sqrt(x^2 + 1)
45. 2:36:34 integral of ln(x + sqrt(x^2 + 1)
46. 2:39:23 integral of tanh(x) 47. 2:40:59 integral of sech(x)
48. 2:48:37 integral of tanh inverse of x
49. 2:43:15 integral of sqrt(tanhx)
50. 2:51:20 integral of [x] from 0 to 5
51. 2:53:40 integral of (secx)^6
BIG thanks to Angel Mendez-Rivera
52, Integral of 1/(5x - 2)^4, 2:55:51
53, Integral of ln(1 + x^2), 2:57:18
54, Integral of 1/(x^4 + x), 3:00:42
55, Integral of (1 - tan(x))/(1 + tan(x)), 3:03:09
56, Integral of x·sec(x)·tan(x), 3:05:08
57, Integral of arcsec(x), 3:06:45
58, Integral of (1 - cos(x))/(1 + cos(x)), 3:11:20
59, Integral of (x^2)sqrt(x + 4), 3:14:46
60, Integral of sqrt(4 - x^2) from -1 to 1, 3:18:38
61, Integral of sqrt(x^2 + 4x), 3:25:10
62, Integral of (x^2)e^(x^3), 3:36:48
63, Integral of (x^3)e^(x^2), 3:37:27
64, Integral of tan(x)ln(cos(x)), 3:39:55
65, Integral of 1/(x^3 - 4x^2), 3:42:11
66, Integral of sin(x)cos(2x), 3:50:00
67, Integral of 2^ln(x), 3:58:06
68, Integral of sqrt(1+cos(2x)), 4:01:21
69, Integral of 1/(1+tan(x)), 4:02:40
70, Integral of sqrt(1- ln(x)^2)/x from 1/e to e, 4:07:13
71-72, Integral of 1/(cbrt(x)+1) & Integral of 1/cbrt(x + 1), 4:10:30
73, Integral of (sin(x)+cos(x))^2, 4:14:10
74, Integral of 2xln(1 x), 4:16:00
75, Integral of 1/(x(1+sin(ln(x))^2)), 4:19:34
76, Integral of sqrt((1-x)/(1+x)), 4:25:48
77, Integral of x^(x/ln(x)), 4:27:52
78, Integral of arcsin(sqrt(x)), 4:29:12
79, Integral of arctan(x), 4:39:16
80, Integral of f(x) from 0 to 5, f(x) is a piecewise function, 4:41:32
81, Integral of sin(1/x)/x^3, 4:44:11
82, Integral of (x-1)/(x^4-1), 4:47:18
83, Integral of sqrt(1+(x-1/(4x))^2), 4:52:49
84, Integral of e^tan(x)/(1-sin(x)^2), 4:55:17
85, Integral of arctan(x)/x^2, 4:56:12
86, Integral of arctan(x)/(1+x^2), 5:00:28
87, Integral of ln(x)^2, 5:02:32
88, Integral of sqrt(x^2+4)/x^2, 5:06:39
89, Integral of sqrt(x + 4)/x, 5:13:46
90, Integral of sin(x)^3/(cos(x)^3 + sin(x)^3) from 0 to π/2, 5:18:03
91, Integral of x/(1 + x^4), 5:19:13
92, Integral of e^sqrt(x), 5:20:07
93, Integral of 1/csc(x)^3, 5:21:37
94, Integral of arcsin/sqrt(1 - x^2), 5:24:16
95, Integral of sqrt(1 + sin(2x)), 5:24:58
96, Integral of x^(1/4), 5:26:22
97, Integral of 1/(1 + e^x), 5:27:47
98, Integral of sqrt(1 + e^x), 5:29:13
99, Integral of sqrt(tan(x))/sin(2x), 5:34:43
100, Integral of 1/(1 + sin(x) from 0 to π/2, 5:39:16
101, Integral of sin(x)/x + ln(x)cos(x), 5:45:39
I only copied from the description of the video, for easy access. Thanks for the likes, they were not necessary. 👋
Insanity
Wtf... 나니?!
honor
@Devadathan Mb he copied from description
Nani?
Time stamps!
Here are the time stamps:
[Q1 to Q25, myself]
Q1 Integral of tan^5(x)*sec^3(x), 2:19
Q2 Integral of cos(2x)/(sin(x)+cos(x)), 5:58
Q3 Integral of (x^2+1)/(x^4-x^2+1), 8:00
Q4 Integral of (x+e^x)^2, 12:00
Q5 Integral of csc^3(x)*sec(x), 14:00
Q6 Integral of cos(x)/(sin^2(x)-5sin(x)-6), 20:00
Q7 Integral of 1/sqrt(e^x), 23:38
Q8 Integral of e^x*sqrt(e^x-1)/(e^x+3), 25:51
Q9 Integral of 1/(x+sqrt(x)), 32:04
Q10 Integral of abs(x-3) from -1 to 5, 34:39
Q11 Integral of sin(x)/sec^2019(x), 37:19
Q12 Integral of x*sin^-1(x)/sqrt(1-x^2), 39:00
Q13 Integral of 2sin(x)/sin(2x), 43:06
Q14 Integral of cos^2(2x), 45:36
Q15 Integral of 1/(x^3+1), 47:55
Q16 Integral of x*sin^2(x), 1:01:07
Q17 Integral of (x+1/x)^2, 1:04:45
Q18 Integral of 3/(x^2+4x+29), 1:06:00
Q19 Integral of cot^5(x), 1:08:08
Q20 Integral of tan(x)/(x^4-x^2+1) from -1 to 1, 1:12:06
Q21 Integral of sin^3(x)*cos^2(x), 1:13:43
Q22 Integral of 1/(x^2*sqrt(x^2+1)), 1:16:16
Q23 Integral of sin(x)*sec(x)*tan(x), 1:20:15
Q24 Integral of sec^3(x), 1:21:30
Q25 Integral of 1/(x*sqrt(9x^2-1)), 1:25:30
[26 to 51, thanks to GaMeR 123]
26. 1:29:48 integral of cos(sqrt x)
27. 1:31:35 integral of cosec x
28. 1:34:09 integral of sqrt(x^2+4x+13)
29. 1:43:26 integral of e^2x*cosx
30. 1:46:43 integral of (x-3)^9 from 3 to 5
31. 1:49:32 integral of (x-x^(3/2))^-1/2
32. 1:52:37 integral of (x-x^2)^-1/2
33. 1:56:03 integral of e^(2lnx)
34. 1:56:57 integral of lnx/sqrt x
35. 2:00:32 integral of 1/e^x+e^-x
36. 2:01:57 integral of logx base 2
37. 2:05:15 integral of x^3*sin2x
38. 2:08:32 integral of x^2[1+x^3]^1/3
39. 2:12:30 integral of 1/(x^2 + 4)^2
40. 2:19:38 integral of sqrt(x^2-1) from 1 to 2
41. 2:27:29 integral of sinh(x)
42. 2:28:50 integral of (sinhx)^2
43. 2:32:53 integral of (sinhx)^3
44. 2:35:03 integral of 1/sqrt(x^2 + 1)
45. 2:36:34 integral of ln(x + sqrt(x^2 + 1)
46. 2:39:23 integral of tanhx
47. 2:40:59 integral of sechx
48. 2:48:37 integral of tanh inverse of x
49. 2:43:15 integral of sqrt(tanhx)
50. 2:51:20 integral of [x] from 0 to 5
51. 2:53:40 integral of (secx)^6
[Q52 to Q101, BIG thanks to Angel Mendez-Rivera]
Q52, Integral of 1/(5x - 2)^4, 2:55:51
Q53, Integral of ln(1 + x^2), 2:57:18
Q54, Integral of 1/(x^4 + x), 3:00:42
Q55, Integral of (1 - tan(x))/(1 + tan(x)), 3:03:09
Q56, Integral of x·sec(x)·tan(x), 3:05:08
Q57, Integral of arcsec(x), 3:06:45
Q58, Integral of (1 - cos(x))/(1 + cos(x)), 3:11:20
Q59, Integral of (x^2)sqrt(x + 4), 3:14:46
Q60, Integral of sqrt(4 - x^2) from -1 to 1, 3:18:38
Q61, Integral of sqrt(x^2 + 4x), 3:25:10
Q62, Integral of (x^2)e^(x^3), 3:36:48
Q63, Integral of (x^3)e^(x^2), 3:37:27
Q64, Integral of tan(x)ln(cos(x)), 3:39:55
Q65, Integral of 1/(x^3 - 4x^2), 3:42:11
Q66, Integral of sin(x)cos(2x), 3:50:00
Q67, Integral of 2^ln(x), 3:58:06
Q68, Integral of sqrt(1 + cos(2x)), 4:01:21
Q69, Integral of 1/(1 + tan(x)), 4:02:40
Q70, Integral of sqrt(1 - ln(x)^2)/x from 1/e to e, 4:07:13
Q71-72, Integral of 1/(cbrt(x) + 1) & Integral of 1/cbrt(x + 1), 4:10:30
Q73, Integral of (sin(x) + cos(x))^2, 4:14:10
Q74, Integral of 2xln(1 + x), 4:16:00
Q75, Integral of 1/(x(1 + sin(ln(x))^2)), 4:19:34
Q76, Integral of sqrt((1 - x)/(1 + x)), 4:25:48
Q77, Integral of x^(x/ln(x)), 4:27:52
Q78, Integral of arcsin(sqrt(x)), 4:29:12
Q79, Integral of arctan(x), 4:39:16
Q80, Integral of f(x) from 0 to 5, f(x) = 10 if x < 2 or x = 2, f(x) = 3x^2 - 2 if x > 2, 4:41:32
Q81, Integral of sin(1/x)/x^3, 4:44:11
Q82, Integral of (x - 1)/(x^4 - 1), 4:47:18
Q83, Integral of sqrt(1 + (x - 1/(4x))^2), 4:52:49
Q84, Integral of e^tan(x)/(1 - sin(x)^2), 4:55:17
Q85, Integral of arctan(x)/x^2, 4:56:12
Q86, Integral of arctan(x)/(1 + x^2), 5:00:28
Q87, Integral of ln(x)^2, 5:02:32
Q88, Integral of sqrt(x^2 + 4)/x^2, 5:06:39
Q89, Integral of sqrt(x + 4)/x, 5:13:46
Q90, Integral of sin(x)^3/(cos(x)^3 + sin(x)^3) from 0 to π/2, 5:18:03
Q91, Integral of x/(1 + x^4), 5:19:13
Q92, Integral of e^sqrt(x), 5:20:07
Q93, Integral of 1/csc(x)^3, 5:21:37
Q94, Integral of arcsin/sqrt(1 - x^2), 5:24:16
Q95, Integral of sqrt(1 + sin(2x)), 5:24:58
Q96, Integral of x^(1/4), 5:26:22
Q97, Integral of 1/(1 + e^x), 5:27:47
Q98, Integral of sqrt(1 + e^x), 5:29:13
Q99, Integral of sqrt(tan(x))/sin(2x), 5:34:43
Q100, Integral of 1/(1 + sin(x) from 0 to π/2, 5:39:16
Q101, Integral of sin(x)/x + ln(x)cos(x), 5:45:39
Thanks bro!
Dude you're amazing
Why!!!!!!!!!!!!!! Are!!!!!!!!!!!!! There!!!!!!!!!!! So!!!!!!!!!!! Many!!!!!!!!!!!!
@@gagandeepsingh7789 : ))))
btw, this is still me.
Ward
*finally finishes*
'press "start" to begin recording'
HAHAHAHA LMAO
FBI agent who was watching him the whole time: “Don’t worry, I gotchu covered BPRP.”
owh that would be the worst day ever
Omg I would kill myself
that's why he was recording on an iPhone too. lol
He explained each and every integral with immense subtleness till the end hats off 👏👏👏 wasnt expecting that
Thanks.
where are the files?
My man did *Math* for close to 6hrs straight.
*RESPECT **_100_*
Do you know i do chemistry for 12 hrs straight and failed in biology and physics lol.
@@BigPPwhofckedyourmomWoW nothing new for jee advanced aspirants😂
Studying at EPFL be like
@@सम्राट-द6य are Bhai 😂
recreationally at that!
"As we all know"
no, i didnt
heartbreaking but true :v
I hate tht and when the teacher say it you fell bit stupid
Teacher: We also know... Relating to trig identities we learned ages ago.
Calc 2 student: WHAT?????
you make me laugh haha
Hello RedpenBluepen
I think answer of question number 31 is little wrong. You missed '4' in multiplication.
Ive got a calc 2 final in a few days, this is super helpful so far
pray for me yall, this final gonna hurt
How did it go
how was it @sz
bro's final was so bad he deleted yt
@@Goose____ xdd
😭 😭 Not too well I’m guessing
Man it would be so much easier for him if he didn't need to explain while doing. Big respect
I was going to say it would be easier if he had 100 different linear functions.
But I think they are very simple calculas questions
But he spent so much time on them
@@fecesgenerator I realise it. Thank you.
It shows that he understands everything crystal clear.
The fact that you explained every step makes this video even cooler because this is also helpful to anyone who struggles with integrals. You're a God
Castlenovo : ))))
blackpenredpen finished cal 3 a year ago. This video is an amazing refresher!
Its time to wake up Mr Freeman, smell the ashes
@@Ikram-yq7oz We don't deserve to wait this long
Yeah like it's understandable
The fact that he explained every integral with a detailed step by step rather than doing some of the steps in his head is crazy to me. Great job man, truly showing how math can be enjoyable
He didn’t explain all of them, the middle part of the video he doesn’t talk a lot, and math just ain’t enjoyable. It’s frustrating if you don’t understand something, and even when you learn it, it only feels good for the moment you learn it, then it goes back to being a pain in the ass to do
@@2kmichaeljordan438 that’s because people view math as a chore instead of having genuine interest in it, which isn’t really an issue since you can have other interests. People like the challenge of figuring out a difficult math problem and others don’t.
@@noxstar8140 Indeed, it depends on the person like most fields.
@@2kmichaeljordan438 no shit something will be frustrating if you dont understand it? i think you just dont have a vested interest in it.
@@2kmichaeljordan438
math is enjoyable, if u suck at it it’s not its problem, it’s yours + ofc anything u don’t understand will be frustrating not only math, and at the end of the day it depends on the person, everyone has his interest, not everyone will like and enjoy the same things
for question 12 I used sub x=sin(u) and the sqrt(1-x^2) on the bottom cancels nicely with the derivative of sinu, cosu to just get the intergral of usinu which is simple by parts, but your solution was also very nice.
The best thing about this guy is that he take the time to explain every steps of the calculation, that's amazing
FireSix thank you!!
Its why I love his work
Agree! Amazing!
Other time stamps (26-61)[1-25 are in description]
26. 1:29:48 integral of cos(sqrt x)
27. 1:31:35 integral of cosec x
28. 1:34:09 integral of sqrt(x^2+4x+13)
29. 1:43:26 integral of e^2x*cosx
30. 1:46:43 integral of (x-3)^9 from 3 to 5
31. 1:49:32 integral of (x-x^(3/2))^-1/2
32. 1:52:37 integral of (x-x^2)^-1/2
33. 1:56:03 integral of e^(2lnx)
34. 1:56:57 integral of lnx/sqrt x
35. 2:00:32 integral of 1/e^x+e^-x
36. 2:01:57 integral of logx base 2
37. 2:05:15 integral of x^3*sin2x
38. 2:08:32 integral of x^2[1+x^3]^1/3
39. 2:12:30 integral of 1/(x^2 + 4)^2
40. 2:19:38 integral of sqrt(x^2-1) from 1 to 2
41. 2:27:29 integral of sinhx
42. 2:28:50 integral of (sinhx)^2
43. 2:32:53 integral of (sinhx)^3
44. 2:35:03 integral of 1/sqrt(x^2 + 1)
45. 2:36:34 integral of ln(x + sqrt(x^2 + 1)
46. 2:39:23 integral of tanhx
47. 2:40:59 integral of sechx
48. 2:48:37 integral of tanh inverse of x
49. 2:43:15 integral of sqrt(tanhx)
50. 2:51:20 integral of [x] from 0 to 5
51. 2:53:40 integral of (secx)^6
52. 2:55:39 integral of 1/(5x-2)^4
53. 2:57:11 integral of ln(1+x^2)
54. 3:00:38 integral of 1/x^4+x
55. 3:02:59 integral of (1-tanx)/1+tanx
56. 3:04:54 integral of xsecxtanx
57. 3:06:32 integral of sec inverse of x
58. 3:11:13 integral of (1-cosx)/1+cosx
59. 3:14:38 integral of x^2*sqrt(x+4)
60. 3:18:18 integral of sqrt(4-x^2) from -1 to 1
61. 3:24:57 integral of sqrt(x^2 + 4x)
Wow, thank you!!!!!
Will be a help for you always!:)
GaMeR 123
And I just put all your work in the description!
blackpenredpen wow thank you!
I compiled the time stamps from 26 to 101 (yes, I did include the secret) (sshhh XD)
I love the energy, u can see how he loves what he does. Respect
Thanks!
🔥
Sir I love you
I am big fan of you
He is one phenomenal teacher. I have been recently watching his videos and he has taught me things my teachers never did. Amazing teacher.
Thank you!
Am I the only one that's impressed by how fast he changes between markers.
I've actually rewound it and tried to catch the technique to copy it. Like my Calc II skills...I am not there yet.
His channel is literally called blackpenredpen
Woah... here I'm month later getting my mind blown' again!
@@avikrishna5029 Underrated
@@GodsNode Even I tried and I think I'm almost there
it’s honestly such a wonderful thing to see that he is still liking comments to this day. that is so rare nowadays, i appreciate people like you and there’s needs to be more. ❤️
I am very happy to hear nice comments like this. Thank you and best wishes to you.
Omg he really is on time, less than an hour reaction
what the fuck lmaooo bro gotta have a manager because there’s no way
Amazing to see how many views its still getting u got 850 likes on this comment in 4 DAYS not counting how many saw your comment w/o liking it AND people who didnt even go to the comments. Hopefully math becomes cool again
@@blackpenredpen wholesome
Y'all are impressed he's solving 100 integrals, I'm impressed how this man is standing for 6 hours straight
We are not the same.
im impressed how he switches his pens so fast
You hadn't seen physics wallah teachers of India who stand for 10-11 hours for lecture.
Yep! And talking, and teaching nicely, not just standing!
Thats not really impressive. Most jobs require you to stand for 8+ hours, so the majority of the adult population do this 5 days a week.
the way he switches between the black and red marker while solving is impressive
why there's no one talkin' bout his marker switching skill?!?! magnificent.
Hahaha, thank you!!!!
OMG i thought i was the only who noticed that, i mean is really good such a fine domain.
this man really did 100 integrals, THEN HE DID 101. LEGENDARY
Lol, thanks
I don't know if he is a genius or a crazy man. Maybe both.
These integrals are a piece of cake for jee aspirants. They can complete these 100 integrals in less than 2 hrs
SPOILERS UGH!
@@kushaagrgupta105 I mean they probably were easy for him too but he was explaining how to do them which is why it took so long
If I ever did this much math I would probably ascend to astral dimension
He's levitating right now
@@MyshKatze shit that's why I can't see his legs
it's only 12th grade calc... (aka ap calc)
@@ladasodaexplains3355 No. It is Calc 2.
But bro I do
respect man, only the elite can put this much dedication and effort into teaching.
Dear Lars, I am sending my best wish to you. Get well soon!
Lol BpRp
OMG! Congraaaaaaaaaaaaaats!(100!times)
Yeeee you are great person.....
@@yaleng4597 heeeeeee 5 hour it is supercalifragilisticexpialidocious
Muhammad Daghimen 6 : )
How could you dislike this video. This guy makes me so happy. The way he says how much he loves his gf and sends wishes to the guy battling cancer warms my heart. He is truly a magical mathematician, and a marvellous human being
Probably because it was mediocre, no offense
Just because you said that I'm disliking
@@ryanlanny547 so brave. That'll learn him!
If I had a gf I would love my life too
@@Ron-mq1fj Was it? I’d like to see you try. So come on, give us an awe inspiring performance.
prof: "this exam is designed to only take 1 hour"
the exam:
Yeh he gave you 100 integrals?
My teacher told us our integration test wouldnt take long, the whole damn class including me took the entire class time lmao.
O
@@crimsonnite9291 man, he is a Just a cat.
He never see an human test
thousandth like lmao
Thank you. For the exercise 31 you've made -2*2=1; the response is -4*square(1-square(x)) + c. I think it's because tiredness. Anyway thank you for your work.
This can also be a record for the longest time holding a microphone in one hand.
Yeeehees no, bc I broke that record in my 100 series video. 😆
@@blackpenredpen i wonder dosent your hand gets fixed in that position after that long
*handgrenade
I love how he’s already figured out how to do the integral before he’s even finished writing it on the board, but he’s explains what he’s doing for our benefit. What a legend.
Are you a Canadian english teacher ?
@@thecrazzxz3383you’ll never get your answer lol
@@SamSam-ed5lv lol
@@thecrazzxz3383bro is going to never have an answer
still no answer@@thecrazzxz3383
i love the way he switches markers😂 i know it seems silly but it just shows how passionate and dedicated he is about this. he’s been doing it 4 so long!
Yea ngl he switches his markers so fast i dont even notice until i see the ink on the whiteboard change colours
This guy stands for 6 hours and you can't even be bothered spell "for" 😂😂
black pen red pen
@@user-xw4mu6nz4t th-cam.com/video/6gOzuZ3bA_I/w-d-xo.html
th-cam.com/users/livezlC8QAG2mCc?feature=share
th-cam.com/users/liveDjah0NdVJpg?feature=share
What are your thoughts on it?
800 fucking slides
This is by far the best maths video here on TH-cam!!! It's like a tough training session at the maths gym!!!🤩🤩🤩
agreed
His shirt ain't lying
LOLLLLL
I'm the second reply
of a comment with 382 likes
I'm the third reply to a comment of 438 likes
I’m the fourth reply of a comment with 507 likes
I'm the fifth reply of a comment with 545 likes
the way he switches the markers is amazing
I honestly didn’t notice until you pointed that out but I’m at now thoroughly distracted by it
Isaac Stop its good to think outside the box
Chopsticks 🍜
is it just me impressed by the way he changes the colors ?
the two markers in one hand technique lol
@@esquared722 That's just his lifelong experience with chopsticks being put to work
Pretty cool, if I ever end up teaching something I'll use that technique
@@esquared722 It's an ancient Chinese technique.
Wow, this truly cuts deep. My father was a mathematician before his passing, and he always wanted me to become a great man with a prosperous future in math. Everyday I look forward to your videos as they give me memories of my father working late at night. Thank you.
Wow, this is truly inspirational. I too have lost my mathematician father to cancer. Perhaps we can link.
Same
@@rakeshravi3119 If your story is true then I wish it's not true, if it's not true then I wish it's true
*Don’t even know what an integral is but this is cool*
He's basically finding a function that when differentiated will give the integrand.
Colin Java still dunno what that means xD
Colin Java you just made it more confusing; to make it simple, the integral of acceleration is velocity
@@Jason_Eissayou Yeah, that's one physical representation, not sure it helps in understand it though.
@@carlosmatosfanpage2856 Well you know about curves (or functions) like y = x^2 that you can plot?
Well you can integrate a function like x^2 and it will make a new function, namely (1/3)x^3.
Then you can use this function to calculate the area under the curve between x=a and x=b and the x-axis.
It would really help to understand the differentiation process first, since this is simpler and its actually the opposite process to integration, so they are fundamentally connected via the fundamental theorem of calculus.
Man has got an arm of steel, he held that ball thing for like 6 hours. Literally cracked.
How heavy is that
@@glaciercodm4498 the mic is a blue snowball ice it’s pretty light but would not want to hold it for 6 hours😭props to this guy holding it for so long
Holding your arm alone for that long would be difficult
Golem is learning mathematics
Can we just appreciate 1: this mans insane math skills, 2: the fact he has 2 markers in 1 hand while maintaining coherent writing, and 3: the fact he explains *every single problem* so well that my small brain can understand it.
also holds the mic in the other hand for six hours
I'm studying for a re-take of my calculus final that my professor was generous enough to provide. I'm extremely concerned because it's my last chance to get an A and I feel like this video is a great immersive way to make sure I've grounded every single method.
Today is Day 2 of going through this video. I've done up to 20 questions so far. I'll be editing this comment to hold myself accountable. #5 was seriously a rough one, but even that problem was possible to solve with your step-by-step guidance. Thanks for everything, BPRP!
Edit: I've made it up to 30 questions. I was really confident about #28 at first, but I had to watch the explanation several times to actually understand it. Are we just supposed to memorize when sec^3(theta) is integrated into and then replace those values by returning to the "x world"? A bit confusing, but memorization of an equation is no problem. We'll see how it goes tomorrow. (Could someone tell me HOW BPRP knew to write sin at 1:55:24 ? That means that he put "u" as cosine, right? Because the sqrt (1 - cos^2x) = sin x. But how did he decide to set "u" equal to cos and thus, get sin (or inverse sin, I guess) in his final answer?
Edit: We've made it all the way to 46 questions and although I'm so close to the halfway mark, I can't bring myself to do another integral. Again, BPRP is amazing! I hadn't solved sinh(x) and cosh(x) questions in a long time so this was a really good refresher. Also, #40 was so challenging and I can't believe that someone would CREATE and SOLVE it voluntarily. I have no words. We will pass halfway tomorrow!!
Edit: Today is a review day. I've made it to 50 and now, I'm going to attempt 1~25 on my own- without any help unless I really need it. #48, 49, and 50 were incredibly thorough. I don't think that we will be tested on tanh(x) or sech(x) questions, but since they're included in this video, I feel prepared. Honestly, I've only done halfway and I had a span of 5 days. It's crazy how BPRP did of this in roughly six hours.
Edit: We've made it to 63. Not gonna lie, I'm getting pretty sick of integrals. I feel like 60 should be plenty of practice and I'm not exactly sure why I'm putting myself through this. We will try to push to 70 tomorrow. Yeesh.
We made it to 70. I feel like giving up now would be pathetic, so I'll keep going. But I am really not enjoying this anymore. Regardless, there are some individual questions that are exciting. I remembered the double angle formula for #68 (around 4:01:00) and it was exciting to be able to solve that one on my own. Tomorrow is my parent's anniversary so I may be busy, but let's aim for 80 !! Agh, almost done
Done with 80! To be honest, #72 was quite beautiful to solve, but the rest were painful. Looking forward to being done!!!!
Done with 90- we'll be completely finished tomorrow. Can't wait. My stamina needs work :/
FINISHED WITH 100 !!! (Ah I forgot to update) My final is partially going to be on series + finding the radius/interval of convergence as well as integrals, so I've been practicing the 100 series video + other tutorials on TH-cam. MIT OpenCourseWare has been a great tool for critical comprehension. I have a bit less than a week until my test, so during the last few days, I'll be making practice exams for myself and solving them in a timed environment. Until then, I'll keep doing 10-20 practice problems per day. (I seldom prepare this far in advance nor this thoroughly for a test, but honestly this is teaching me great learning habits! Perhaps I'll apply this to my classes during the approaching school year. )
I'll update this comment on how the actual test goes !
The retake went alright! To be completely honest, I didn't get the score I was looking for. I was looking for a 100 so it's a bit shameful to say, but I nearly fucked up again. However, I got a score that was just a few points above the good-enough standard and my grade improved, so I was able to take Linear Algebra this semester and I enjoyed it a lot. (It's way more abstract.. yet easier than Calc II to grasp in my opinion. The applications are a lot more concrete.) Thanks, BPRP :) You're one of the few people who prevent me from entirely despising math.
with your dedication I hope it passes
how did the final go?
how'd it go?
When mom says you can watch one more video before going to bed
ViperDaniel hahahahha
I was thinking of the same thing YAY
The entire tournament of power
But we're studying, right?
My dad says not to copy old jokes.
His goal : Claiming a world record
What he ended up doing : Teaching me how to integrate quickly
Did you watched the whole video, speak truth
@@Praveen-zq8ox I did!
It’s not a world record tho. Many Indian and Chinese and Korean students do tougher integrals of the same number in less than half the time .
@@aravinds3846 well they don't explain everything for viewers tho
@@alncdr there’s no need to most of the time
My man not only done 100 integrals in 6 hours but he held his mic in his hand the entire time, true goat.
Greatest Of All Time !!!
true goat, but what about the goatee?
@@studybuddy7060😂
@@studybuddy7060well played
th-cam.com/video/6gOzuZ3bA_I/w-d-xo.html
th-cam.com/users/livezlC8QAG2mCc?feature=share
th-cam.com/users/liveDjah0NdVJpg?feature=share
This is probably one of the most insane video have seen on this platform. Shout out to you bro👏🙌
Support from India..... I did all the sums with you!!! Felt great! 10 Am-4 PM!!!!
Tilak Chan nice!!!!!
Wow nice dude
@@va11bhav_rana Nice name..😂😂
I also finished all sums with my friends and it takes 5 hours working hard for jee 😌
Doctor: “You have 5 hours 50 minutes and 22 seconds left to live... Use it wisely”
Me:
When you cram the entire set of past exam problems the night before an exam
Pretty much!!!
lol🤣
I can relate quite too much to your comment :'(
Relatable lol
SAD
Today i finish the whole video with you. I solve the problem by myself at first,then followed u. Thank you for being with me.
At around 3:00:10 you asked how I am doing
Man, it's been a rough couple of weeks. It feels like the university doesn't wanna test what I know, but instead they wanna see if they can catch me out on things I don't know well enough. It's overwhelming and difficult to stay ahead of the workload, but I'm staying positive and doing my best all the way. They'll never get me down. Thank you for asking.
How are you doing?
Werner Steyn wow you are the first one who actually noticed that part!! Thank you.
Yes, just like you said, stay positive. Keep putting in the effort and I wish you a successful semester!
Werner Steyn btw, I am doing well right now too. Thanks.
@John Porter that's amazing, man! Keep it up! :D
-Who is the most beautiful woman in your life?
-My mom
-...
- 4:30:30
Lolllll
HAHAHAHAHA LOL
HAHAHAHAHAHA SHITS FKING HILARIOUS
i really laughed at that one
@@blackpenredpen hey T-series beat pewdiepie 😁
My maths teacher failed to teach me integrals during a six-week course but you did it in less than six hours!
: )))))))
@@blackpenredpen thats a lot of chins bro.
Successfully completed solving 100 integral ..10 each day ....Got lot to learn and practice....Thank u so much for this fabulous content of math!
"You only have 6 hours left before the integral exam!"
*watches this video
literally me rn
That's actually clever af
@@szwos how did it go? ahahha
thats me
none of them helped me unfortunatelly :'(
This guy is representing my parent imaginations of me before I was born.
😂😂
hahaha those integral until my grandmother looking at the tables solves it
Asian?
@@utkarshverma8362 middle eastern
@@saeedf2690 middle east lies in asia only( except Egypt).
I ACTUALLY UNDERSTAND WHAT HES DOING :)))). I tried watching this last year prior to taking calc 1, but since i already took it, i understand now. THIS IS ACTUALLY KINDA FUN TO WATCH!
Glad to hear!! Thanks.
Same lol I learned about integrals a few days ago
Add me in the list :~)
i haven't done my Calc1 and i understand it because he is just too good at teaching.
I’m taking Calc 2 right now and it’s quite entertaining watching this
I miss one class.
My professor:
Guess we found a new challenge for Mr. Beast
$100,000 to witch ever of his friends can do 100 integrals correctly first
BPRP is probably his friends.
He's too dumb to understand Calculus
We all know it's not gonna happen.
It's gonna happen!
He has ascended to the level of math god
2:18 ok you lost me at this part
😂😂 Most Underrated comment..! .
You got humor dude.! 🔥
HAHAHHAHAHA
2 mins in 😂
1 year on and I’ve learnt basic integration (x^n, n is not -1) at school
18 months on and I can do almost all of these (but I’ve learnt enough to know how to do all of them)
2:18:15 - "We are all adults now, so we don't have to worry about square roots on the denominator."
I felt that. Thank u
This is someone who truly loves what they teach, spends nearly 6 hours straight solving integrals and explaining each step for each one
*He
the original record is of holding microphone for 6 hours
There's so many good moments in this video. He asks how I'm doing, checks up and says the video is for Lars numerous times, just what a nice guy overall. Actually watching this video over the course of a week lord help me...
39:48 simple method :
Put sin^-1 (x) =t
Diff. 1/√(1-x^2) dx =dt
Our question integration sint t dt
Then by parts
Differentiation is applying the right rules but integration is an art.
😊😊😊😊😊🤭🤭🤭
@@samud7041 🗿
"Okay, good practice, now i'll start the recording"
Hahahahahahahaha underated
Everyone is underrated here
HahahahahahHajaha
3:36:12 “so, take a look”’... just for 1 second, like my teacher.
Kekecom Morhax hahahahaha. But you can pause the video within that second :))))
HAHAHHAHHAA RELATABLE HAHAHHAHAHHAA
You watched 3 hours and 36 minutes in ???
@@jasp9661 I'm on the 4th
"Now, quiz time"
I am not a big Math guy and do not get much time to practice. So I appreciate you solving them while explaining it. Helps us a ton!
Fun fact: the uploading time for this was 12 hours.
Support this channel and get my notes on Patreon: www.patreon.com/posts/files-to-my-100-95153770?
blackpenredpen It is not a fun fact any more.
It is a "integral" fact of the uploading video
Oooo
Oh, actually TH-cam also took its time to figure out "What the hell it is!!!"
Twelve hours is a totally ridonculous amount of time!
It should have been -1/12 hours...
Brain it on! Lol nice
can’t thank you enough man you’re truly a blessing. if all math professors had this same level of dedication to teaching their students math would almost be easy. thank you for all your hard work boss we appreciate it!
I am very happy to hear this. Thank you!
As you go higher in mathematics, difficulty becomes inevitable, but the degree of severity can be lowered with a dedicated teacher like this fellow.
No it's not
Easy mode, put video on 0.25x and try to beat him.
Normal mode, put on 1x
Hard mode: 2x
Good idea
Not really hard cus he explains everything
@Andrew Wu well I mean he still takes time to explain things so if you were to do it without talking its faster
I mean if you beat him at 2x (u really won't) why not record for the record
beast mode:3x
* 00:00:33 - Question #1: Integrate tan^5(x) * sec^3(x) dx
* 00:13:45 - Question #2: Integrate cos(2x)/(sin(x) + cos(x)) dx
* 00:18:40 - Question #3: Integrate (x^2 + 1)/(x^4 - x^2 + 1) dx
* 00:34:23 - Question #4: Integrate x * sin^2(x) dx
* 00:45:13 - Question #5: Integrate 1/(sin^4(x) - 2sin^2(x)cos^2(x) + cos^4(x)) dx
*01:04:00 - Question #6: Integrate sin(x)/sqrt(1 + cos^2(x)) dx
*01:12:16 - Question #7: Integrate sin^3(x)cos^4(x) dx
*01:20:00 - Question #8: Integrate e^xsin(x) dx
*01:25:00 - Question #9: Integrate arctan(x) dx
*01:30:00 - Question #10: Integrate x/(1 + x^2)^2 dx
*01:34:00 - Question #11: Integrate sin^4(x) dx
*01:38:00 - Question #12: Integrate cos^5(x) dx
*01:42:00 - Question #13: Integrate tan^3(x)sec^4(x) dx
*01:46:00 - Question #14: Integrate sin^2(x)cos^3(x) dx
*01:50:00 - Question #15: Integrate tan^4(x) dx
*01:54:00 - Question #16: Integrate sec^5(x) dx
*01:58:00 - Question #17: Integrate tan^3(x)sec^3(x) dx
*02:02:00 - Question #18: Integrate sin^5(x)cos^2(x) dx
*02:06:00 - Question #19: Integrate tan^2(x)sec^2(x) dx
*02:10:00 - Question #20: Integrate sec^3(x) dx
*2:14:00 - Question #21: Integrate tan^5(x)sec^4(x) dx
*2:18:00 - Question #22: Integrate sin^4(x)cos^4(x) dx
*2:22:00 - Question #23: Integrate tan^3(x)sec^5(x) dx
*2:26:00 - Question #24: Integrate sin^3(x)cos^5(x) dx
*2:30:00 - Question #25: Integrate tan^2(x)sec^4(x) dx
*2:34:00 - Question #26: Integrate sec^4(x) dx
*2:38:00 - Question #27: Integrate tan^3(x)sec^6(x) dx
*2:42:00 - Question #28: Integrate sin^2(x)cos^6(x) dx
*2:46:00 - Question #29: Integrate tan^2(x)sec^6(x) dx
*2:50:00 - Question #30: Integrate sec^6(x) dx
*2:54:00 - Question #31: Integrate tan^3(x)sec^7(x) dx
*2:58:00 - Question #32: Integrate sin^2(x)cos^7(x) dx
*3:02:00 - Question #33: Integrate tan^2(x)sec^7(x) dx
*3:06:00 - Question #34: Integrate sec^7(x) dx
*3:10:00 - Question #35: Integrate tan^3(x)sec^8(x) dx
* 03:14:00 - Question #36: Integrate tan^3(x)sec^9(x) dx
* 03:18:00 - Question #37: Integrate sin^2(x)cos^8(x) dx
* 03:22:00 - Question #38: Integrate tan^2(x)sec^8(x) dx
* 03:26:00 - Question #39: Integrate sec^8(x) dx
* 03:30:00 - Question #40: Integrate tan^3(x)sec^10(x) dx
* 03:34:00 - Question #41: Integrate sin^2(x)cos^9(x) dx
* 03:38:00 - Question #42: Integrate tan^2(x)sec^9(x) dx
* 03:42:00 - Question #43: Integrate sec^9(x) dx
* 03:46:00 - Question #44: Integrate tan^3(x)sec^11(x) dx
* 03:50:00 - Question #45: Integrate sin^2(x)cos^10(x) dx
* 03:54:00 - Question #46: Integrate tan^2(x)sec^10(x) dx
* 03:58:00 - Question #47: Integrate sec^10(x) dx
* 04:02:00 - Question #48: Integrate tan^3(x)sec^12(x) dx
* 04:06:00 - Question #49: Integrate sin^2(x)cos^11(x) dx
* 04:10:00 - Question #50: Integrate tan^2(x)sec^11(x) dx
* 04:14:00 - Question #51: Integrate sec^11(x) dx
* 04:18:00 - Question #52: Integrate tan^3(x)sec^13(x) dx
* 04:22:00 - Question #53: Integrate sin^2(x)cos^12(x) dx
* 04:26:00 - Question #54: Integrate tan^2(x)sec^12(x) dx
* 04:30:00 - Question #55: Integrate sec^12(x) dx
* 04:34:00 - Question #56: Integrate tan^3(x)sec^14(x) dx
* 04:38:00 - Question #57: Integrate sin^2(x)cos^13(x) dx
* 04:42:00 - Question #58: Integrate tan^2(x)sec^13(x) dx
* 04:46:00 - Question #59: Integrate sec^13(x) dx
* 04:50:00 - Question #60: Integrate tan^3(x)sec^15(x) dx
* 04:54:00 - Question #61: Integrate sin^2(x)cos^14(x) dx
* 04:58:00 - Question #62: Integrate tan^2(x)sec^14(x) dx
* 05:02:00 - Question #63: Integrate sec^14(x) dx
* 05:06:00 - Question #64: Integrate tan^3(x)sec^16(x) dx
* 05:10:00 - Question #65: Integrate sin^2(x)cos^15(x) dx
* 05:14:00 - Question #66: Integrate tan^2(x)sec^15(x) dx
* 05:18:00 - Question #67: Integrate sec^15(x) dx
* 05:22:00 - Question #68: Integrate tan^3(x)sec^17(x) dx
* 05:26:00 - Question #69: Integrate sin^2(x)cos^16(x) dx
* 05:30:00 - Question #70: Integrate tan^2(x)sec^16(x) dx
* 05:34:00 - Question #71: Integrate sec^16(x) dx
* 05:38:00 - Question #72: Integrate tan^3(x)sec^18(x) dx
* 05:42:00 - Question #73: Integrate sin^2(x)cos^17(x) dx
* 05:46:00 - Question #74: Integrate tan^2(x)sec^17(x) dx
* 05:50:00 - Question #75: Integrate sec^17(x) dx
* 05:54:00 - Question #76: Integrate tan^3(x)sec^19(x) dx
* 05:58:00 - Question #77: Integrate sin^2(x)cos^18(x) dx
* 06:02:00 - Question #78: Integrate tan^2(x)sec^18(x) dx
* 06:06:00 - Question #79: Integrate sec^18(x) dx
* 06:10:00 - Question #80: Integrate tan^3(x)sec^20(x) dx
* 06:14:00 - Question #81: Integrate sin^2(x)cos^19(x) dx
* 06:18:00 - Question #82: Integrate tan^2(x)sec^19(x) dx
* 06:22:00 - Question #83: Integrate sec^19(x) dx
* 06:26:00 - Question #84: Integrate tan^3(x)sec^21(x) dx
* 06:30:00 - Question #85: Integrate sin^2(x)cos^20(x) dx
* 06:34:00 - Question #86: Integrate tan^2(x)sec^20(x) dx
* 06:38:00 - Question #87: Integrate sec^20(x) dx
* 06:42:00 - Question #88: Integrate tan^3(x)sec^22(x) dx
* 06:46:00 - Question #89: Integrate sin^2(x)cos^21(x) dx
* 06:50:00 - Question #90: Integrate tan^2(x)sec^21(x) dx
* 06:54:00 - Question #91: Integrate sec^21(x) dx
* 06:58:00 - Question #92: Integrate tan^3(x)sec^23(x) dx
* 07:02:00 - Question #93: Integrate sin^2(x)cos^22(x) dx
* 07:06:00 - Question #94: Integrate tan^2(x)sec^22(x) dx
* 07:10:00 - Question #95: Integrate sec^22(x) dx
* 07:14:00 - Question #96: Integrate tan^3(x)sec^24(x) dx
* 07:18:00 - Question #97: Integrate sin^2(x)cos^23(x) dx
* 07:22:00 - Question #98: Integrate tan^2(x)sec^23(x) dx
* 07:26:00 - Question #99: Integrate sec^23(x) dx
* 07:30:00 - Question #100: Integrate tan^3(x)sec^25(x) dx
Proof that I am a man
watched the whole thing.
still don't know how to calculate Integrals
😂😂
Actually u had to keep ur eyes open while watching
OMGGGGG, this is insane, I wish I could like this over 100 times 😍😍😍
Dr Peyam thank you!!!!!!
Ofcourse you can like it 100 times!!Sad it'll count only one...
@@dharmanshah1239 Only if you don't have 100 accounts😂
Haha, I am here to check the video.
Of course, you can like it as many times as you want. Just make sure it's an odd number ;)
The fact that he explains every calculation , is just insane
this was probably the first time I was smiling while doing math.... ur smile is contagious man .... loved it
Thank you!
I never thought I could learn so much in such little time. Gifted teacher, thanks for the dedication. Legend for explaining everything.
Glad to hear! Thank you!!
A LEGEND HAS RETURNED
Nooo u didn't learn anything. You just came to know.
Practice this question 2 times. + 50 different questions of similar type. Then u will learn.
@@dad-ms8mz im 14 and this is deep
@@smallfry7304 I like deep.😃😅
You've become a talking point in my college maths department for tge incredible stuff you do.
Aww thank you!!!
@@blackpenredpen Incredible video by the way!
Student: How to do this integral please ?
blackpenredpen: Just watch my 6 hours long video, it must be somewhere in it
LOL, yup!
For question 59 (3:14:33), I tried integration by parts and I got the same answer. It is probably slower but it's the first thing I thought of. When I did this, I got (2/3)*x^2*(x+4)^(3/2) - (8/15)*x*(x+4)^(5/2) + (16/105)*(x+4)^(7/2)+C which desmos says is the same answer. Love the vids ❤️
Personal timestamp: 4:14:10
4:31:35
Much love from India sir just because of this video I scored 147/150 in integration test the scariest topic became so easy thnx
WOW!! That's so awesome!!!
Good
What test was that?
Universal padta tha kya bhai ?
Imagine if he forgot to hit the record button
lmao true but im pretty sure he made sure he did this type of video is prolly something that he would care a lot about.
That probably hard ataq
Who said that this was his first time solving 100 integrals 🙃
Ooh u negative vibe😑
maybe he did forget and recorded the video again lmao
someone : so, what do you eat every morning ?
me : a bowl of cereals
this guy : a bowl of integrals
@Tamim Ameen haha
Tangent flakes
6 hours of integrals is a BOUL??? whats hearty then? a day straight?
lol
Derivabix
3:23:52 you could just note that the rest of the area is exactly 1/12 the area of a circle with radius 2, leading the area formula to be 1/12 (π*2^2)
This is the first time in 2 years that I'm actually starting to 'think' when solving integrals. Up to recently it was just a kind of 'go with the momentum' way of solving, or a painting by numbers style where I was going by purely the 'standard' way of approaching simpler integrals, which often led to walking into dead ends. Now I'm actually trying to see how to approach things thanks to watching your thought process. And it has started to work because, going into my lecture handouts I'm able to solve a lot of the integrals much more easily than before and I'm actually aware of 'why' I'm choosing a particular strategy.
I know I 'rant' but I can't thank you enough for how much this is helping me. I was losing my mind and now I've started to enjoy this subject again and the magic of maths is returning.
1. Imagine if he forgot to hit record
2. HOW DID HE HOLD THE MIC LIKE THAT FOR 6 HOURS STRAIGHT
he never skipped arm day
I can also do 100 integrals....of e^x.
dy
LMAO same
Damn I can only take derivative of e^x 😕😕 Integrals are tough
Make it 1000
Now I'm in 12th and after 4 year old video in my 📱 thank you very much for your support
This guy is the asian Bob Ross of calculus
5:02:19
THIS IS WORTH THE ENTIRE VIDEO
xDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD
Omy
Here are the time stamps:
[Q1 to Q25, myself]
Q1 Integral of tan^5(x)*sec^3(x), 2:19
Q2 Integral of cos(2x)/(sin(x)+cos(x)), 5:58
Q3 Integral of (x^2+1)/(x^4-x^2+1), 8:00
Q4 Integral of (x+e^x)^2, 12:00
Q5 Integral of csc^3(x)*sec(x), 14:00
Q6 Integral of cos(x)/(sin^2(x)-5sin(x)-6), 20:00
Q7 Integral of 1/sqrt(e^x), 23:38
Q8 Integral of e^x*sqrt(e^x-1)/(e^x+3), 25:51
Q9 Integral of 1/(x+sqrt(x)), 32:04
Q10 Integral of abs(x-3) from -1 to 5, 34:39
Q11 Integral of sin(x)/sec^2019(x), 37:19
Q12 Integral of x*sin^-1(x)/sqrt(1-x^2), 39:00
Q13 Integral of 2sin(x)/sin(2x), 43:06
Q14 Integral of cos^2(2x), 45:36
Q15 Integral of 1/(x^3+1), 47:55
Q16 Integral of x*sin^2(x), 1:01:07
Q17 Integral of (x+1/x)^2, 1:04:45
Q18 Integral of 3/(x^2+4x+29), 1:06:00
Q19 Integral of cot^5(x), 1:08:08
Q20 Integral of tan(x)/(x^4-x^2+1) from -1 to 1, 1:12:06
Q21 Integral of sin^3(x)*cos^2(x), 1:13:43
Q22 Integral of 1/(x^2*sqrt(x^2+1)), 1:16:16
Q23 Integral of sin(x)*sec(x)*tan(x), 1:20:15
Q24 Integral of sec^3(x), 1:21:30
Q25 Integral of 1/(x*sqrt(9x^2-1)), 1:25:30
[26 to 51, thanks to GaMeR 123]
26. 1:29:48 integral of cos(sqrt x)
27. 1:31:35 integral of cosec x
28. 1:34:09 integral of sqrt(x^2+4x+13)
29. 1:43:26 integral of e^2x*cosx
30. 1:46:43 integral of (x-3)^9 from 3 to 5
31. 1:49:32 integral of (x-x^(3/2))^-1/2
32. 1:52:37 integral of (x-x^2)^-1/2
33. 1:56:03 integral of e^(2lnx)
34. 1:56:57 integral of lnx/sqrt x
35. 2:00:32 integral of 1/e^x+e^-x
36. 2:01:57 integral of logx base 2
37. 2:05:15 integral of x^3*sin2x
38. 2:08:32 integral of x^2[1+x^3]^1/3
39. 2:12:30 integral of 1/(x^2 + 4)^2
40. 2:19:38 integral of sqrt(x^2-1) from 1 to 2
41. 2:27:29 integral of sinh(x)
42. 2:28:50 integral of (sinhx)^2
43. 2:32:53 integral of (sinhx)^3
44. 2:35:03 integral of 1/sqrt(x^2 + 1)
45. 2:36:34 integral of ln(x + sqrt(x^2 + 1)
46. 2:39:23 integral of tanhx
47. 2:40:59 integral of sechx
48. 2:48:37 integral of tanh inverse of x
49. 2:43:15 integral of sqrt(tanhx)
50. 2:51:20 integral of [x] from 0 to 5
51. 2:53:40 integral of (secx)^6
[Q52 to Q101, BIG thanks to Angel Mendez-Rivera]
Q52, Integral of 1/(5x - 2)^4, 2:55:51
Q53, Integral of ln(1 + x^2), 2:57:18
Q54, Integral of 1/(x^4 + x), 3:00:42
Q55, Integral of (1 - tan(x))/(1 + tan(x)), 3:03:09
Q56, Integral of x·sec(x)·tan(x), 3:05:08
Q57, Integral of arcsec(x), 3:06:45
Q58, Integral of (1 - cos(x))/(1 + cos(x)), 3:11:20
Q59, Integral of (x^2)sqrt(x + 4), 3:14:46
Q60, Integral of sqrt(4 - x^2) from -1 to 1, 3:18:38
Q61, Integral of sqrt(x^2 + 4x), 3:25:10
Q62, Integral of (x^2)e^(x^3), 3:36:48
Q63, Integral of (x^3)e^(x^2), 3:37:27
Q64, Integral of tan(x)ln(cos(x)), 3:39:55
Q65, Integral of 1/(x^3 - 4x^2), 3:42:11
Q66, Integral of sin(x)cos(2x), 3:50:00
Q67, Integral of 2^ln(x), 3:58:06
Q68, Integral of sqrt(1 + cos(2x)), 4:01:21
Q69, Integral of 1/(1 + tan(x)), 4:02:40
Q70, Integral of sqrt(1 - ln(x)^2)/x from 1/e to e, 4:07:13
Q71-72, Integral of 1/(cbrt(x) + 1) & Integral of 1/cbrt(x + 1), 4:10:30
Q73, Integral of (sin(x) + cos(x))^2, 4:14:10
Q74, Integral of 2xln(1 + x), 4:16:00
Q75, Integral of 1/(x(1 + sin(ln(x))^2)), 4:19:34
Q76, Integral of sqrt((1 - x)/(1 + x)), 4:25:48
Q77, Integral of x^(x/ln(x)), 4:27:52
Q78, Integral of arcsin(sqrt(x)), 4:29:12
Q79, Integral of arctan(x), 4:39:16
Q80, Integral of f(x) from 0 to 5, f(x) = 10 if x < 2 or x = 2, f(x) = 3x^2 - 2 if x > 2, 4:41:32
Q81, Integral of sin(1/x)/x^3, 4:44:11
Q82, Integral of (x - 1)/(x^4 - 1), 4:47:18
Q83, Integral of sqrt(1 + (x - 1/(4x))^2), 4:52:49
Q84, Integral of e^tan(x)/(1 - sin(x)^2), 4:55:17
Q85, Integral of arctan(x)/x^2, 4:56:12
Q86, Integral of arctan(x)/(1 + x^2), 5:00:28
Q87, Integral of ln(x)^2, 5:02:32
Q88, Integral of sqrt(x^2 + 4)/x^2, 5:06:39
Q89, Integral of sqrt(x + 4)/x, 5:13:46
Q90, Integral of sin(x)^3/(cos(x)^3 + sin(x)^3) from 0 to π/2, 5:18:03
Q91, Integral of x/(1 + x^4), 5:19:13
Q92, Integral of e^sqrt(x), 5:20:07
Q93, Integral of 1/csc(x)^3, 5:21:37
Q94, Integral of arcsin/sqrt(1 - x^2), 5:24:16
Q95, Integral of sqrt(1 + sin(2x)), 5:24:58
Q96, Integral of x^(1/4), 5:26:22
Q97, Integral of 1/(1 + e^x), 5:27:47
Q98, Integral of sqrt(1 + e^x), 5:29:13
Q99, Integral of sqrt(tan(x))/sin(2x), 5:34:43
Q100, Integral of 1/(1 + sin(x) from 0 to π/2, 5:39:16
Q101, Integral of sin(x)/x + ln(x)cos(x), 5:45:39
**Mistakes Time Stamps**
ViperDaniel: "33:39 shouldn't that be a du? :)"
Dylans17 " Uh oh, -2 times 2 equals -4 not -1, 1:52:05"
Asok Mc: "5:16:56 you can not remove the absolute value because, for example, if x equals -3 the result of the logarithm would be negative"
For a detailed explanation for Q90. Please see th-cam.com/video/9xaGYqiOkPM/w-d-xo.html
You guys can leave your support comments and wishes to Lars under his comment. His YT name is: Л.С. Мото
He is almost cancer free!!!
😱😱😵😨
Good job MaN
@@blackpenredpen in Q61 you should keep absolute value you can try -4
The geometric approach to the 10th question was so cool!!!
This video is motivating me to get through Calculus II! Much respect ✊🏻
Should be looking at series then.
I can't believe I just watched six hours of something that I couldn't even motivate myself to do ten minutes of when I was in the class.
@@soccerplayer2277 Man I sure do love series
Max W lmao same bro