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Integrate the functions(sin^(-1)x)^2...

Integrate the functions`(sin^(-1)x)^2`

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To integrate the function \((\sin^{-1} x)^2\), we will follow a systematic approach using substitution and integration by parts. Here’s a step-by-step solution: ### Step 1: Substitution Let \( \theta = \sin^{-1} x \). Then, we have: \[ x = \sin \theta \] Differentiating both sides gives: ...
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