Trig substitution integration: x=a*sinθ, calculus 2

In this calculus 2 tutorial, we will go over 4 examples on how to use the sine substitution to solve integrals. Use the time stamps below to help you navigate the video.

0:00 When do we use x=a*sinθ
0:49 Integral of 1/sqrt(a^2-x^2)
4:12 Integral of sqrt(2-x^2)/x^2
10:25 Integral of sqrt(1-4x^2)
18:41 Integral of 1/(x*sqrt(9-x^2))

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This channel is dedicated to students who are taking AP calculus, GCSE, A-Level, year 12 maths, college calculus, or high school calculus. Feel free to leave calculus questions in the comment section and subscribe for future videos. #calculus #blackpenredpen

[danieldanmola]

I don't know how well you know how to teach other aspect of math..but when it comes to math.. i give it to you🎉🎉😊😊

[Bbbbbx]

18:50 that moment of realization when u accidentally erased it was too funny

[denisrudolph]

Man the way you explain this stuff is insane thanks its really helpful !!!

[suryaprakash-ljzz]

just joined your new channel
quality and free calculus for all....

[aaronwhite]

u almost forgot the "+ c!" you ARE human 😂

[aarnamishra]

thank you, this is really useful. Revising for my maths final and this is one area I've always struggled with, but after you explained it makes so much more sense!

[Salamanca-joro]

8:10 damn i was lost there i was like how can csc^2 become cot but i forgot this was integration not derivative

[aaronwhite]

I'm a burnt out cal 2 student and it is wholly disturbing how you simplify this!

[newjsdavid]

doing three problems like this is helpful for me having attention span issues

[stelios]

You are the best ever i saw in math world .i wish can met you one day

[darktobi-hy]

wow your videos are very great nice well explained thank u sir🙂

[jacobschaumann]

Just wondering, where did you get your "ultimate calc 2 integrals" poster?

[leena]

in problem 3 shouldnt you have multiplied the x= asinx by 2 to get what 2x is equal to? thank you'

[wristdisabledwriter]

Quick question. If I was in your class and used x = acos(theta) and no errors would you be mad or give full points

[georgesadler]

Thank you for the video. A plus C is needed after the integration is performed. For example, when you integrate d theta, you have theta, this is incorrect. The correct solution is theta plus a Constant. Please correct these errors in the video.

[biniyab]

Pls can u help me this question?
The integration of 2x cube minus 4x minus 8 over (x square minus x)(x square plus 4) dx or
2x³-4x-8/(x²-x)(x²+4)dx

[cosmicvoidtree]

Did anyone else notice the ambulance at around 17 minutes?

[Larry]

my calc 2 professor took the whole hour and 40 minutes to explain this lmao

[numberandfacts]

Can u solve this if solve you are real mathmatician integration 0 to ∞ [ u^(s-1) ]/[ e^(u) + y ] ^(2) du 🥺

[mathevengers]

How do you upload videos on your so many channels regularly? I know you are a math wizard because you use teleportation spell at start of your videos.