Integral of 1/sqrt(1-x^2)

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This calculus video tutorial explains how to find the integral of 1/sqrt(1-x^2) using integration by trigonometric substitution and pythagorean identities.

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I've been listening to this for almost four years now. Thank you for keeping me sane through all of the painful homework I've had to push through.

timewaster
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while opening rt(cos^2(x)) why didn't you use modulus that change the results?

parthdabas
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what about the absolute value l cosu l

Nathanshin-lk
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Why do not call (x) to cos(x)? The answer will arccos (x)...?

rafaelpassareli
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Thanks man, it's really very helpful 💝

lakeshsahu...
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What about x=cosθ the antiderivative this time would be - acos(x)

nik_semperlotti
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thank you so much, very simple and understandable

lorenzoantoniodeleon
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Hey, is it okay if l replace x with cos u instead of sin u

neozoul
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Where does the sin(x) come from..? I am so confused :( EDIT: I understand that it's substitution, but how would I know x^2=sin/..??

THBDubstep
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0:20 pls explain x = sin(u)
why sin(u) ? why not tan(u) or cos(u) ?

winner
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Anyone know how to solve this when the instructions are to NOT use Trigonometic substitution??

treymtz
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Plz more videos on integration and disintegration

itzzakshay
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Great 😍...could you complete your great series of organic chemistry ❤❤?

mahmoudtony
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Please make a video on integration of 1 upon root(1-x)

dharmik-sanatani-zo
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I want this, please
y =x int dx (1-x^ 2 )x^ 2

rehamelgaml
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Can we do this without trig substitution?

jasminemikasa
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Man, you have uploaded the same video twice

ayushmishra
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Really wished you'd taken a little more time to show how it is arcsin. Still lost on that.

HunterNapier