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Numerade Educator

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Problem 43 Medium Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \frac{dx}{\sqrt{1 - x^2} \sin^{-1} x} $

Answer

$\ln \left(\sin ^{-1} x\right)+c$

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Video Transcript

If we say for this problem that you is inverse sine of ox, then we know that D acts is equivalent to the square root of one minus X squared, do you? Which means we have the integral off one over you, do you, which is equivalent to natural law review, plus seeds back substituting that use equivalent to inverse sine of acts. We end up with natural log of sign, the negative one of acts. That same thing is Enver sign of acts and then plus C, cause it's integral.