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

Рет қаралды 58,939

Күн бұрын

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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Пікірлер: 41

@danieldanmola8266 Ай бұрын

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 2 ай бұрын

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

@aarnamishra5917 Жыл бұрын

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!

@denisrudolph914 3 ай бұрын

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

@suryaprakash-lj8zz 2 жыл бұрын

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

@aaronwhite556 Жыл бұрын

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

@stelios7702 2 жыл бұрын

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

@user-cm6qm3he5v 9 ай бұрын

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

@evangelinemcdonald9123 Жыл бұрын

I love your videos

@Salamanca-joro 4 ай бұрын

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

@silentmath3198 2 жыл бұрын

Great Video!!!

@newjsdavid1 Жыл бұрын

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

@MikeMitz-ef6rp 3 ай бұрын

It's so helpfull

@rogerkearns8094 2 жыл бұрын

These are good, thanks.

@aaronwhite556 Жыл бұрын

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

@leena9708 9 ай бұрын

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

@hydropage2855 2 жыл бұрын

That intro is so funny

@vitorsg 2 жыл бұрын

Wow, super nice

@akashbhatti5141 2 жыл бұрын

Thank you sir

@silentintegrals9104 2 жыл бұрын

totally agree!!!

@jacobschaumann 2 жыл бұрын

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

@bprpcalculusbasics 2 жыл бұрын

It’s my merch. You can check it out in the description 😃

@felipequinones5769 2 жыл бұрын

I can’t buy your merch because it says me that my email address is not valid.😕 Keep your good work!

@kianmath71 2 жыл бұрын

Nice job

@hichamellouzati-fc6wj Жыл бұрын

Good

@rithvikthota 2 жыл бұрын

Good one

@biniyab8416 Жыл бұрын

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

@matheusdossantos9252 6 ай бұрын

I'm late but 2x^3-4x-8 = 2(x^3-2x-4) x^2-x = x(x-1) Take the 2 out 2 × integral of (x^3-2x-4)/x(x-1)(x^2+4) 2 Is is a root of x^3-2x-4, when dividing x^3-2x-4 by x-2 we have the factorization (x-2)(x^2+2x+2) So, 2 × integral of (x-2)(x^2+2x+2)/x(x-1)(x^2+4) Well, I tried to simplify to eliminate some term but I didn't see a way, so lets to partial fractions (x-2)(x^2+2x+2)/x(x-1)(x^2+4) = A/x + B/(x-1) + (Cx+D)/(x^2+4) Well, this is the way

@GlobaliveKh 7 ай бұрын

🤩🤩🤩😍😍😍

@wristdisabledwriter2893 2 жыл бұрын

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

@bprpcalculusbasics 2 жыл бұрын

Full points.

@cosmicvoidtree 2 жыл бұрын

Did anyone else notice the ambulance at around 17 minutes?

@Larry640 Жыл бұрын

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

@TARRSS 3 ай бұрын

0:00 i⁴

@numberandfacts6174 2 жыл бұрын

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

@georgesadler7830 4 ай бұрын

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.

@mathevengers1131 2 жыл бұрын

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.

@numberandfacts6174 2 жыл бұрын

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

@numberandfacts6174 2 жыл бұрын

If u solve my problem then I coolbe with u I am also mathmatician I have a theroy to solve Riemann hypothesis 😑