Calculus 2 Final Exam Review -
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- เผยแพร่เมื่อ 31 มี.ค. 2021
- This calculus 2 final exam review covers topics such as finding the indefinite integral using integration techniques such as integration by parts and trig substitution. It discusses how to find the arc length of a function as well as the surface area.
Get The Full Video on Patreon: / mathsciencetutor
Direct Link to The Full Video - Part 1: bit.ly/3jNiyDF
Direct Link to The Full Video - Part 2: bit.ly/3neI3jH
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Calculus 2 Exam Review - Part 1: • Calculus 2 Final Exam ...
Calculus 2 Exam Review - Part 2: • Calculus 2 Final Exam ...
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bruh you help a lot of student
Great video! On the partial fractions at 27:48, shouldn’t the second and third fractions have an extra x multiplied on the denominator??? I could be wrong but I’m not sure
me watching this video the day before the final
edit: I graduated, you can do it.
I imagine the views uptick twice a year. Once in May and again in December.
same lmfaoo
My exam is in like 2 hours and I'm watching this lol
@@Dani98664 Yeah this video is really specific to these random integrals and didn't end up helping too much on my exam. Calculus 2 is a much wider topic than just this video. I'd go over your previous tests and other review materials instead.
I'm doing that rn lol. my final I in 7 hours ahhhhhh
A Wizard is never late, nor is he early. He arrives precisely when he means to.
I like the quote
Story of my life
0:00 Integration by parts
4:51 Integrating with trig identities (Pythagorean identity).
9:00 Inverse trig integration
21:00 Partial fraction decomposition
29:43 Integral con verges/diverges
32:26 Trapezoid rule + Work Done
35:52 Simpson's rule
44:38 Surface Area?
Hi Oct I followed ur lessons for quite a while ...recently we had a national examination in Ethiopia , Africa from 350,000 students only 700 students got more than 600 ( the test was out of 700) and I am so happy to tell you that I got 623 I really want to say thank u but that wouldn't do ...you were and will always be the best teacher ever
wow man congratulations thats insane. as much help as Oct was, you succeeded because your hard diligent work good job man.
congratulations, great work!!! and he really is a great teacher eh 🥰😄
Bro finna make it out the mud
@@christick7928 🤣🤣
o7 brother i wish you luck
Whenever I get a degree and a job, I’m leaving this channel a huge tip. You are an awesome tutor. Your videos have helped me in so many classes!
just a reminder
@@mertturna147 1 year to go 💪
@@Mushtingkeep it up!
How goes it
@@waffleface5940 good luck on your calc final 🔥, just took mine yesterday
You're the only reason i got a 90 in both Calc 1 and Calc 2. Fully done with academia and working a full time job now. Thank you for being the best mathematics teacher I've had.
Me watching this an hour before my calc 2 final ☠️
Mood
Literally me right now
I got 102% overall in Calculus 2. The secret is you need to practice a lot. You can do it.
Wow, that's great
How tf did you get more than 100% lol
@@hefrov10 extra credit
True. Also find a group of student to study with. My overall grade in calculus 2 is a A. All thanks to two of my best friend helped me through the class.
Some don’t have that amount of time, but every bit of practice is a long run help.
The trigonometric u-sub with tan and sec was insane; hopefully that isn't on any of our exams
that's exactly the type of question to be on a cal 2 final exam
Good luck to everyone taking the exam this semester!
Yes absolutely "wishing someone luck tips really important if you believe in luck" 😮
The dislikes are the people whose final was the day before they found this
If only you could be my professor, I might actually learn something because you explain
Couldn't have agreed more at you * 😊
got that final in about a week thanks for everything OCT ill make u proud
good luck everyone taking the final this fall semester !
I've taken both AP Calculus BC in high school and Calc 1 and 2 in college, I thought that calculus was just impossible to teach because my instructors didn't explain it well and I ended up teaching myself most this content. You explained things so well and I wish I would have had you teaching me the class... THANK YOU for saving me before my final.
Exact same scenario for me lol
Today is reading day, my final is in two days. Hopefully this prepares me well, it's super useful so far.
same here, my final is in two days and this is also useful
how'd the final go? I have mine in 3 days and I really need to keep this B I have rn.
@@s.a.chord4879 Mines on Wednesday but I only need a C- for my pre req so I need about a 30% on this, and honestly looking at past Common Time Exams, Im stressin a little bit. Good luck m8!
@@Tetrok_the_Tealmines kinda that way too but I need to maintain a 3.4 or above to get a guaranteed transfer to my top choice university and if I get below a 73% in the class I get no credit. I have an 85% atm but the whole class I’ve felt so lost
@@s.a.chord4879 it was the hardest test I’ve ever taken, the first question got me good. It was 2:30 long and I used 2 hours and 15 minutes of it. I thought I got an 80+ and I ended up with a 96 and was the top of the class. The class average was 60, min 9 max 96. I will say, for me, integration was the most used. So glad I re-learned rotation of disks, interval of convergence, and McLaurin series. The first question was integral of (e^cuberoot(x)) / (cuberoot(x^2)) and was solve with a u sub but I only got it after coming back at the end. I wish you all the best and remember, get a good nights rest the night before and you’ll probably do better than you though
Exactly 1 year after this video I am watching it for the second time. The first time I watched it was for my high school final exam. Now rewatching for my university midterm exam. This takes me back
Man I should've watched this before my final. I ended up just reviewing everything the day before the exam and I studied like 13-14 hours or so. I ended up failing horribly so now I have to retake it next semester. Going to study throughout break so I'm on top of things come the start of the semester
this math is soul crushing
Professor Organic Chemistry Tutor, thank you for another excellent video/lecture on the Calculus 2 Final Exam Review in Calculus. Techniques of Integration is an important tool in Calculus and all levels of Advanced Mathematics. Understanding Techniques of Integration comes with a tremendous amount of practice and pattern recognition. This is an error free video/lecture on TH-cam TV with the Organic Chemistry Tutor.
my exams on Tuesday and I've been binging your lessons all week, so so soooo helpful you teach better than my college professor, you explain it down to the little details that if you don't pick up make you lost in the long run if you are already confused. I'll comment back to let you know if I passed, fingers crossed.
How did you do??
Sabrina McCraley not sure yet but I think I did really good the exam went really well no questions left in confusion!
hahah the joke is that i failed and im back here next semester
@@meaghanjakobi4826 damn
@@Supercatzs but the video is to this day super helpful
Yess needed this I have an exam next week thank you
My calculus 2 exam is December 7th or 8th at 8am this semester (let alone I commute 45-50 mins to class M-F), I’m determined to get a B or A in this class I’m going to use this video everyday until then to refresh.. I love your video so much I cannot explain!!!!!
my final is tom... these videos literally have saved my grade
Thanks for helping me explore the Mathematician in me- a clinical doctor ♥️♥️👍
Try to build a great understanding of mathematics as a (subject) first of all 🤨
Finals coming up this week…..thank youuuuuuu!!!!!!!
This video is a good reference of what I am learning for calculus 2 when I take it.
Please sir you are the best among the best. Am requesting if you can release part two soon. Am eagerly waiting for it sir.💞💞
I like ur voice when ever I hear it it’s a good sign that ima past any test learning more much things then school
Amazing work! Make a tutorial for Astrophysics and Nanotechnology.
Appreciate your help in Calculus 2.
Thank you! your videos are really helpful
I appreciate everything you do man, thank you so much.
항상 카트리안 좌표계를 활용하다가 구좌표계 원통좌표계 극좌표계를 활용하면서 힘들었던 점이 있었습니다. 바로 익숙하지 않다는 사실이었습니다. 이 영상을 통해서 이러한 좌표계에 대해서 한결 친숙히 다가갈 수 있었습니다.
Thank you sir I needed this for my final exam
Clutch video bro, blessed timing
Part two being members only hurts. Most of what I need to know will be in that but thanks for the help this ones great.
3 doesn't have to be solved with trig. If u = x^2 + 9 and you split the top into x^2*x then you can get by with just standard u-sub. You end up with a different but equivalent form of the integral, ((x^2+9)^3/2)/3 - 9(sqrt(x^2+9)) + c. I did it this way and was very frightened when he started using trig (Either I'm crazy or Calc BC never really hit "inverse trig integration" very much. We just do U-sub and Parts). But the answers are equivalent when I check it with Desmos.
Hey, thanks for saving my ass!!! Our professor got sick and we have had a substitute who does not know what is going on. Your videos have kept me with a decent grade, and looking at the final, I feel sort of confident. Thnaks!!!!
In the third question, you could have substituted u =9+x^2, then x^2 would be at the top, then replace it with u-9, then distribute the denominator and perform the integration, and the result would come in a different form, but give the same numbers.
Thx man i learnt alot
Damn, even though I'm not I respect the almost daily uploads!
They aren't uploads, he's simply shortening the length of his videos and reserving most of it for patrons.
@@Anonymous-jj1re What it cuts is only small parts of extra similar questions , ie you can practice them for yourself if you have already watched the complete lecture .
@@dinkletonne Actually it's over half not just some part,I know this because I actually had some of emm,they could be about 2hour Long and it'll become about 48mintutes,some videos about some concepts have been deleted,you can't watch the entire lecture,the the force applied on a point charge hanging from a string in an electric field,there were about 3 hours worth of electric field videos and now there's about 50 minutes or so,and the good parts,like finding the electric field intensity at a particular point and more electric field application questions and not the run off the mill ones are all gone, hybridization used to be about 40 minutes to an hour,now it's 10.
Heat engine as well and lot's more,I know this because I had these videos before and then they just started disappearing,I couldn't find them and couldn't download them back as they've been deleted, selective precipitation as well was also deleted and will probably not to redone,it was about 20 minutes, banked curve was an hour+ with really good questions,now it's about 17 minutes with the the typical examples that everyone knows.
We've all gotta make ends meet I suppose.
@@Anonymous-jj1re you wouldnt make hours of videos on tutorials and not make any money. TH-cam has shit revenue
Can’t live without you❤
here comes the yearly uptick in views
I'm cramming for my exam tomorrow but for the partial fraction question at 28:00 I found A=-1, B=-2, C=4. I used the same exact equations and these still checked out to the answers of 1, 12, 12. Is it possible to get two sets of different coefficients that work out for partial fraction?
This was very helpful:)
The problem from ~ 9:30 -> 20:00 can be simplified down using a U substitution for (x^2 + 9) and done in about 4 lines rather than the trig route
what do u do after you substitue
no it cant
du would be 2x and x^3 is in the numerator
@@iamthechair6328 With the x^3 the dx = du/2x. You take the 2 out the integral and are left with (x^2)/(u^0.5) at this point just sub in a rearrangement of u = x^2 + 9 to get u - 9 / (u^1/2)
At 31:45 would it not be converging to 1 instead of 1/2 because when you factor out the -1/2 you are left with 1/a^2 + 1/1^2
Wouldn't it be -1?
@@dreadx738 I got -1 as well.
Nah it’s 1/2, he didn’t factor out the -1/2 properly but if you do it right it’s still 1/2
I actually want to start a channel like this for fun (experiments and explanations) but I am kind of struggling - do you have any tips, organic chemistry tutor? I watch your videos and they are so good.
You seem like a great kid, I'm not a TH-camr myself, but what makes the organic chem tutor so popular is his aim to help struggling students. As a result, many people will take time out of their own days to search for his videos, which will, in turn, increase his views and target demographic. Also, he has amazing timing and schedules his videos perfectly. As evident in my desperation to pass and many other commentors, we have finals coming up :) GL with ur endeavors.
@@jefferyli7598 Thanks a lot! I really appreciate it !
Just finished calc 2 with a B thank you OCT
Watching this just 10 hours before my final
How'd you do
@@lolislayer1643 I failed
@@krishgup1208 :( damn I hope you recovered
Great video. Plus your infinity symbols look just fine :-)
If you are a god, which you are close to becoming one, the amount of your worshippers will equal the number of subscribers where majority of them are college and university students from all over the world.
We literally cannot thank you enough for all these videos which might as well be played during class as we would benefit more from it than the textbooks......
Your videos make me motivated to actually learn stuff and CONTINUE acquiring knowledge as I check them off one by one from my syllabus, never have I been so enthusiastic on self-studying before.
It is a win-win situation between me and my friends as I use YOUR methods to teach them the same content and the same questions. This action of consistently pumping out videos on various topics ABOUT DIFFERENT SUBJECTS greatly benefits us and that is what makes you better than most teachers out there! Really appreciate all you've done for us stressed out students and to think that you're STILL going at it really makes us feel comfortable as well as reassuring. Keep up the phenomenal work! (because some of us are literally clinging onto you)
Agreed
In the problem at 9:00 how do you know to set | x = 3tanΘ | What tells you to do this , how do i know what to set x equal to in other problems?
At 23:07 shouldn't it be C (x) (x+2) since the (x-2) cancels out?
I think he made a mistake
my final is in 30 minutes i finna cry rn
Good lucky
How'd you do
I leave for my exam in 30 minutes, im very prepared and not at all watching this last minute
Got a 58 on the final but I passed the class😃
at [46:00] why is r(x) x^3 and not just x?
Just took my exam on Sequences and Series yesterday, very scared for the final now
Same. Sequenced and series are awful!! They just don't make sense! Good luck on your final!
@@kristinafulton5334 thanks! Took it last week and got a 68% sooo not the best but at least I passed haha
Wait how much you need to pass?
@@virajfunhouse8491 I needed like a 55% but I got a 68%
Not me watching this one day before the final 💀
^^^ Same 😂
^^ 25 minutes before the final
How did you do?
@@elifarmer3815 I got a C
Got my calc 2 Tuesday
Shortcut for derivative of a function of type: f(x) raised to g(x)
Let f(x) be f
Let g(x) be g
Let derivative of f(x) be f'
Let derivative of g(x) be g'
d/dx(f^g)=(f^g)(f'(g/f)+g' log(f))
For those who couldn't understand what's written above, It reads as:
derivative of f raised to power g is equal to f raised to power g times (derivative of f times g by f + derivative of g into log(f))
Thank you so much for making this video! It is very helpful. God bless!
Thank you :D!!
27:14 B= 1 or -1? Thanks :)
My calc 2 exam is on tuesday but I need to get an 86 to achieve a 4.0, but to study like crazy for this exam
you are a legend sir
Thank you
14:00 why aren't you changing all the secant thetas with U?
watching this before i have to take my final tysm organic chemistry tutor!!!!!!!
Watching before exam lol
Watching this at the beginning of the semesters So I’m a genius by the end 😎
literally
JG is a math king
Im taking pre calc in a week. Can you make a video or 2 that will help a beginner understand? Thank you
He has some videos on that. Search organic chemistry tutor pre calculus
when we do definite integrals using u-sub we never change the limits of integration. why all of a sudden we change the limits of integration finding area or surface area?
Ummm yes we do
Thank you so much for this video~~~ My final exam for Cal 2 is tomorrow. Wish me luck.. I'M SCARED.
How'd you do? coming from an algebra student
@@gabelol9987 it's okay. I hope i pass the exam😬
For no.5 29:55 can't we just use p-test and say that since P>1, it converges?
The P test is used to determine if a series converges or diverges. For number 5 here, we are asked to solve an improper integral. Both use the concept of convergence/divergence, but are 2 completely different Calc 2 topics
@@laurenclapp4501 no he's right
Just in time for my calc exam
It's 2021 and people still comment first on videos like their comment will be popular.
Tomorrow. if i get a 70, I will get to move onto linear algebra. or else I am stuff with one more semester of Calc with calc 3. I do not want to do calc anymore
watching this video an hour before my final
I convinced myself it was all common knowledge last night then I started stressing the day off :)
Can you do algebra 2
Can you please make a calculus 3 final exam video
I want them to teach this in 5th grade
I'm watching this while I'm in class literally about to take the final wish me 🤞
Thank you OCT I love you
I believe that 31:40 has a wrong sign as you already had the negative factored out
Sir you are great❤❤❤
I'm not paying 20 dollars a month to see the rest of this video, that is ridiculous
(IMO) Calculus is 1 of the best maths topics to understand for a idea, Note: Its just My own Opinion on the suggestion, Advice; "Feel free to exchange eachothers own Opinion even mine to eachother".
Hi, how is it that at times the sinx=cosx and other times sinx=-cosx
I think you’re referring to when he integrates or differentiates.
d/dx (sinx) = cosx
The integral of sinx is -cosx because d/dx (-cosx) = -(-sinx)= sinx
I just finished my Calc 2 course and I ended up with a 93.17%. Should I be very proud of myself?
watching this 2 hours before my final
What I’m gonna have to deal with next semester.
Dude you just make a 7th grader understand this
Calculus has always been easy(might seem complex at first). Plus this guy way of teaching and explanation is simple and very good..
That time of year again
im taking calc 1 and 2 along with physics c next year. will I survive???
You got this!
You will survive.
calc 1 is easy, calc 2 requires more effort
Only if you make those classes your priority. learn to say no to things that do not matter to you.
I have a question right here that how X equals 3tanx in the 3rd question?
hi, when the question sqrt(a*2+x*2)dx we say x=atanQ as a rule. it comes from the reference right triangle. all the best!!
@@aley3885 thank you very much
God bless you man