❖ Basic Integration Problems
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- เผยแพร่เมื่อ 20 ก.ย. 2024
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Basic Integration of Indefinite Integrals. For more free math videos, visit PatrickJMT.com
How do i donate to the fund I am really grateful to u😊
patrickjmt on Patreon is the easiest way i think :)
there is also a paypal link on the 'about section' of my youtube page.
thanks!!
Thanks man you are still there replying to an 8 year old video🤗
Watching this in May lol
@@laytonpratt haha
In india final exams will be in march😂
Hi all! Please post comments, questions and anything else on your mind in the comment section! While I try to answer as many questions as I can, there are more questions than I can answer by myself so if you are someone who might be able to help, please do so! The community is so much better when everyone is involved and helping each other out. Our strength is our willingness to help each other!
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Hi I think your math videos are extremely helpful!
Sir can solve( x3-1) X power 5
hi! patrick you show new video our please! about integral
Wat do we do if we have an Expression Including e^x
Could you do a differentiation video too please?!!
I bet these videos get spikes in traffic every December and May because of college kids cramming for finals lol
+Nick Harris you would win that bet
+Nick Harris Absolutely!
+Nick Harris And , you're absolutely right . Actually , my exam is in 5 and a half hours . The final that is .
That's high school not university at list in my country
+Nick Harris I don't know how much truth is in that but my maths exam is held tomorrow.
You could imagine a person has to be really good at explaining math homework like patrickJMT to be one of my top 10 favorite youtubers
my payment is knowing i have helped someone out there : )
Yes, you helped me
Yes uhh helped man thanks alot uuh made it so easy..
11 year old comment on a 8 year old video. That's definitely trickier.
You helped me🙂😄
@@rekhasingh926 facts
My professor actually does an excellent job of explaining the material and I have no complaints about him, I just love these videos for how convenient they are for studying. The organization is very easy to follow and the calm atmosphere is so relaxing and helpful.
My class average was a failing grade and I got a high C because of you. So glad I didn't have to drop!
i wish it helps me too! God knows i need this
Salad fingers dude
Integration of 1/x^1.2 and 1/(u^2)^1/2 plz
I LOVE YOU PATRICK! YOU HAVE KEPT ME OFF THE STREETS AND IN SCHOOL!
+Shawn Gill How has he contributed to you staying off the streets?
+Newbport think it is because he made him love what he is learning
+Newbport as in he didn't drop out of school. it's a joke, don't think too much about it :p
Newbport lol taking things literally 😂
very nice
I must say: If it wasnt for you, I definetely wouldn't be doing the way I am in university. Thank you very very much man. Keep up the good work.
spread the word!
patrickJMT Yeap! Already have, and I'm still spreading the word! :D
+patrickJMT w o r d
hope you finished it! i'm on my first year and just found these videos. really helpful.
classmate: where did you learn that?
me: PATRICKJMT bitches! :D hahaha
+eclairx1 lol
xDDD
Marwan Issa g
Lets switch brains for a few hours
Mood
@@nabihairna649 imagine replying to a five year old comment
@shikori did you pass your semester 🤣
I'm currently in the USAF, and planning to start taking college classes. I remember watching you three years ago when I had my calculus assignment in high school. I thought I'd never see your videos ever again, but here I am now, trying to learn once again from the person who taught me on how to survive math in high school. I appreciate you :)
Hey Pat, just want to say I am 26 now and revisiting these videos for fun. I used to watch them all the time during my high school and college days and they were such massive help. Thank you
thanks! glad they helped you out a bit :)
thanks! i practice writing them for an hour each day!!
Ayithe velli vadiyiii..MG________
this guy is the best,he explains calculus much better than my professor, and I actually feel like i know what to do after watching his videos
I know why you love tutoring so much. Dem sharpie fumes.
@emilieminh no problem, happy to help!
@TheEirica glad the class turned out well : )
I love your channel because you give so many examples. Sometimes other channels explain the concepts a little better but your channel is where I go to learn how to do the real gruntwork, and to learn how to actually do the problems on my homework. Ty for this great channel, you have helped me so much.
Got my Masters degree in Mechanical Engineering. Got through my first and second year Engineering maths watching your videos.
Awe💖
Monkey D. Luffy whatcha doing now ?
Dam found u here
In India we do all this in high school
@@Shreyasingh-bb1gr we r smart af
Dude, you're amazing.
The lessons are incredibly lucid, approachable, and easy to understand. You were born to do this.
This video just reminded me of the dark ages of youtube when star ratings were still a thing. Thanks for everything, Patrick.
4. A bag contains 5 red balls, 3 black balls, and 2 green balls. Whenever a red ball is drawn, it is replaced in the bag and an extra red ball is added to the bag. Whenever a black ball is drawn, it is not replaced and no extra balls are added. Whenever a green ball is drawn, it is replaced in the bag, and a red ball is removed from the bag. 2 balls are drawn, one after another.
a. Find the probability that at least one of the balls drawn is red.
b. Given that at least one of the balls drawn is red, find the probability that both balls drawn are
red.
Patrick can u pls solve this, its for my exam, thx.
i wish my math teachers taught us the way you did for trig identities instead of just throwing tan^2x + 1 = sec^2x but once you showed me what was actually going on it made more sense and easier to remember lol
Doing a review from calc 1 for my first assignment in calc 2. Learned integration during quarentine, and although I had a good teacher everything was crazy during that, so this helps soooooo much!
glad that it helped you out :)
The annotation for rating the video 5 stars at the end was a throwback to old YT haha
Patrick you deserve Nobel price and ballon dor together😂😂
Thank you! My teacher just put a bunch of numbers on the board and solved it without explaining anything so I was lost xD
BlueBunnyGamer lol
xD or Dx
It's a joke but not a good one
i agree: using your brain and problem solving skills are something that 99% of the population never use
patrickJMT how the frick did you comment this. The video was published 8 years ago (from 2020), but you commented on said video 11years ago. Meaning that you commented on a video that wouldn’t exist for another 3 years. Wtaf
awesome, good luck in your class :)
I always watch your videos whenever I miss class or I simply did not understand my professor. I highly recommend you to all my classmates. You make it so much easier.
Thanks a lot (:
Hello other end of year crammers!
hey lmao
hey!
Hello newbie here
I'm not one of them.
I could understand your video 2 times better than 2 hours I have spent in Math class , great video Patrick. Thank you
the extent of my art ability!
yep, good algebra skills along with about 3 days worth of trig knowledge = success in calculus
This is better than Khan academy.
One problem is, it's better for the bits I'm up to speed with for test and revision. At 5:51 where it talk of trig identities, and subs in the 1 tan squared theta, I don't follow how that happened. A little more explanation would be nice!
He factored out the sin from the numerator
How?
+Cloeren Jackson just look for the trigonometic identities in google.. to understand brotha
Your videos helped a lot with maths last year. On monday, i start Integrals and so excited but have a feeling i will be watching your videos when i should be sleeping :D Greetings from Finland!
Patrick is better than everybody.
I am watching your tutorials since i was Junior High School and now i'm a 1st year engineering student i am still here lol you deserve a millions of subscribers Pat! Thank you!
You are the god of mathematics
@ Priscilla. At 6:00, if you were to look at the second integral. You can distribute the sine theta to 1 AND THEN to Tan^ 2 to get the integral at the top.
Thank you a lot sir this little video can help me lot on my exam today..
@josuanette congrats on the A. patrickjmt is always just hanging around youtube, waiting for someone to pay attention to him (ie, listen to his boring math talks!!). good luck in the class
i dont get how u factored a sin of theta... i know thats not really calc but im confused. u factored a sin of theta and the other sin of theta.. help please
I'm currently on my second year in Civil Engineering and oddly, I'm dealing with both Differential and Integral Calculus on both semesters and ever since I found out about your video of derivatives months ago, you've helped a lot in letting us - not just me but a handful of my friends as well who took up the same math classes as I did and recommended links to your videos - understand the foundations of calculus. After having my first lesson in anti-derivatives this morning, I immediately went on TH-cam to check your videos out about integration to further delve into the subject. I'm learning a lot thanks to you!
you saved my life.
+Laura Zeppetelli-Bedard in that case, you owe me one! :)
I really do !
thanks!
no problem ;)
mine as well
Thank you so much. Learned more in 10 minutes than i did after a 60 minute lecture.
Found your channel too late in March while cramming for finals. Had to retake my Integral Calculus. You're awesome! Thanks.
you are great and good at explaining
yea he is..patrick is my go-to guide for any calculus videos
I find his videos really easy to understand
well, i do agree with you: there could be better math classes i think. for example, i think people should be taught basic financial skills - decimals, interest, debt, savings, etc.. i think the current economic situation validates this idea, so i absolutely understand where you are coming from: there should be some more 'applicable' classes.
EVEN PATRICK MAKES MISTAKES! 1:01 he forgot dx :D hahah otherwise ur a genius!
I saw it too!!! But he's awesome so let's forgive him. Patrick's a human tho
I was so confused by that, thank you so much for this comment
THANK YOU. I WAS SO LOST UNTIL I READ YOUR COMMENT
you make calculus to make sense...you make it sooo simple...i run to your videos each time. thanx patrick
Isn't that "anti-derivative" called integral?
integration*
Integration is the process. Integral is the outcome.
It's the fundamental theorem of calculus. Antiderivatives are connected with definite integrals. That is why when we evaluate indefinite or definite integrals, we dispense the terminology of using "antiderivative".
@Lebanese Crusader No
Nader Nassrallah maybe so
Totally agree with you too especially on the financial classes. The sick thing is, our economy doesn't rely on financially responsible people, it relys on people that like to spend lots of money.
If i were somehow to become a pope, I'll make you a saint.
A million thanks.
It's 1:26 AM, I have a math test this morning. Screwed around all semester. Help me Patrick, you're my only hope
how was it?
I studied for the wrong chapter. We were studying differentials, not integrals.
ohh wow, so you did bad? my math final is tomorrow and i barely know integrals or optimization or related rates...im so screwed
Congratulations.
thanks for the video really helpful.. but the fact that youre left handed :D i had to be patient for u to remove your hand
Watched this video back in high school. Needed a quick review of integrals for my classes at UCLA so I click on Patrick JMT... never disappoint
glad i can still help out :)
Thanks Patrick, btw do u mind telling us what career r u pursuing right now?
He is a math professor.
LJR1331 no i am not
As opposed to being a traditional school teacher, it looks like he is making a sizeable income through his youtube partnership and online tutoring business. It looks though at this point, he's teaching simply because he wants to, which is a reason why his teaching is so great and easy to learn from, also not being bound by the school books. I'm quite envious really. Keep doing your thing professor!
He's an Engineer :v
investment banking MD
Dude you rock! You really help me remember that calculus is easy.
Markiplier we love you as you are :D No need to change
Wish I found your videos sooner! Can't thank you enough for how much these videos are helping me for my next test... for which I have 2 days to learn a whole unit on integration. I've had so many epiphanies while watching your vids, thinking "so that's wth the prof was talking about..." You've taught me more in a few hours than my prof has after weeks. Thanks again, you're a lifesaver!!!
stars existed in 2012? odd
@gabuas You add +C at the end because that C could be any number which is a constant. Remember doing anti derivative is backwards and there is a +C there because there was a number there before the derivative. When you go back using anti derivative the +C is added back because you don't know the exact number that was there its just a Constant. C is any number.
Thanks :D :D
My pleasure!
+patrickJMT sir you're saying our derivative is this this.
r u explaining integration or derivative
+patrickJMT how to find the absolute extrema of he given function on the indicated closed and bounded region.........like f(x,y)= xy-x-3y is triangular region with vertices (0,0),(0,4),(5,0)
Johanna Tiongzon u fucker
@qiqelago both brilliant for sure!! however, many of the ideas they used were developed before them, however they did have the genius to pull it all together!
I love you daddy
They call me big papa, and I love it
LOOOOOOL
+sudhanshu agrawal New to the internet?
who is your daddy now?
patrickJMT Savage!!
Thank you for all the patience and effort put in this videos. A saviour of lives.
PATRICK rapes the competition when it comes to math!!!!!
you just made my maths2 much easy thanks man, much respect
You are officially my MASTER in CALCULUS
you have taught me calculus, i have taken 2 calc exams, and have barely gone to lecture. I got a 92 and a 95 on the exams because of what you have taught me. Thank you patrickJMT!
thank you for making these videos!, my calculus teacher is a mean mean old man and he just makes everything 100X more complicated and doesnt show us step by step. your videos really reallly help & i figured out how to execute newtons method in 10 minutes yay! lol. as well as integrals. he gives us the weirdest hardest problems, sad part is, hes writting the final as well as the in class exams.
I've been watching a few of your videos, and they're fantastic. You explain in a clear and concise way, and keep your videos at an appropriate length (where I'm not bored, but at the same time I'm still learning quite a bit). I'll definitely use these videos for Calc II.
never seen any good way to explain calc you are really good and your way of explaining stuff is very good so easy to get through the mind keep the work up best math channel
Your videos are great! I got an A in my 4 week summer calculus class by watching your videos, they are so helpful and really clarify the material that my professor can't. Thanks so much!
I see this video has almost 1.3 million views. Which means that Integration is really much of a problem and I wasn't crazy after all..
Thank you Patrick..!!💪💪
Hey man, great video. I just wanted to mention that there is a much easier way to do that trig problem. After you factor out the sin(theta), use Tan^2(theta) +1 =sec^2(theta) identity. Then you plug in sec^2(theta) for that (1+tan^2(theta)). This way you have sin(theta)(sec^2(theta)) / sec^2(theta). Then divide the sec^2(theta) from both top and bottom. This leaves you with finding the antiderivative of sintheta, which is -cos theta + C.
You, my man, are saving lives right here!
you are a better teacher than my math teacher. Thank you, you helped a lot.
I like the fact that you included a wide variety of easy to solve integrals.
i originally used google video. i think it got ported over and never made public or something. not really sure what happened!
of course.
not sure if you are responding to me, or the other person.
my original comment was laced with extreme sarcasm.
Patrick: I just would like to let you know that without your videos, I would have dropped my calculus class. "seriously"
million thanks. You Rock Sir!!!
Thank u, that means alot to me.
Truth Teller who are u..
I am who I am
TRUTH TELLER ahaha!!!
I'm not yet in Calc or Calc 2 but these videos are fantastic cause I'm able to follow what's going on
Got a tutorial test tomorrow and i knew nothing about integrating.. thanx to this video, im ready!
glad you like them! now go tell a friend so that they know too! : )
patrickJMT 9years ago!! Thank you so much for not deleting this video, I have an exam today on this topic and am sure I'll make a pass on it . God bless you .🙏
I'm a French student, and thank to u integration problems became easy for me. thank u Patrick
Take the integral:
integral e^(tan(x)) sec^2(x) dx
For the integrand e^(tan(x)) sec^2(x), substitute u = tan(x) and du = sec^2(x) dx:
= integral e^u du
The integral of e^u is e^u:
= e^u+constant
Substitute back for u = tan(x):
Answer: |
| = e^(tan(x))+constant
thanks a lot ... i needed to know what integration was because i need it for physics but haven't learned it yet in math class...
This is some damn fine explanation! I actually understood what to do with basic integrals. Thanks a lot!!!
Pretty good problems.
Well, I've noticed that Problem 3# can be solved using an easier way which is this:
Intg of sin(x)+sin(x)tan^2(x) / sec^2(x) = sin(x)( 1 + tan^2(x))/sec^2
*By knowing that 1 + tan^2(x) = sec^2(x)*, we can make it like this:
((sin(x)sec^2(x)))/sec^2(x) = sin(x)
Then eventually when we integrate it, it becomes -cos(x) + C
Thank you very much. :)
you are welcome!
That would be true for differentiation, we are integrating meaning we are doing the opposite. In integration you add +1 first, then divide by the resulting power of "x".
You my friend, just earned yourself a subscription. Usually I'm good at math, but ap calc is giving me some problems this year haha
Really good your videos, I think they were basic examples with great explanation to solve different type of problems. Thanks a lot none of my friends knew Integrals. Hope it helps me when I finish school.
I am taking calculus online this semester! So no teacher interaction. I am so thankful for your videos! I will be donating to your webpage!!
Best math teacher on TH-cam
I just noticed, whenever you start the video you begin with either "Alright, in this video...." or "Okay, so today....." LOL!
But you are awesome!
As simple as that!
I don't usually subscribe... But I must show my gratitude!
Thanks so much for all your help :) Will be just watching your vids for the whole week!