Question

Evaluateequation

17 Feb 2025
Answer :
Word Count : 146
We need to evaluate the integral: \[ I = \int \frac{(\sin^{-1}x)^2}{\sqrt{1 - x^2}} \, dx \] ### Step 1: Substituting \( t = \sin^{-1} x \) Let: \[ t ____ ___ _______ _________ ____ ________ ________ _______ ___ ______.
___ ___ __________ _________ ______ _________ _____ __________ ____ _________ __________ ____.
_____ _________ _______ _____ _______ _____.
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____ ________ ____ ___ _________ _______ ________ _____ _____ ________.
_______ _____ ____ ____ _________ __________ _______ __________ _________ _____.
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__________ _____ ___ _________ ___ ___.
_____ _______ ____ ______ ________ ____.
____ __________ _____ __________ ______ ________ ________ ______.
________ __________ ________ _________ __________ ______ ____.
_________ _______ __________ _____ ___ ______ __________.
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___ _________.
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