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(sin^(-1)x)/(sqrt(1-x^(2))...

`(sin^(-1)x)/(sqrt(1-x^(2))`

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To solve the integral \(\int \frac{\sin^{-1} x}{\sqrt{1 - x^2}} \, dx\), we will follow these steps: ### Step 1: Substitution Let \( t = \sin^{-1} x \). Then, we differentiate both sides to find \( dx \): \[ \frac{dt}{dx} = \frac{1}{\sqrt{1 - x^2}} \implies dx = \sqrt{1 - x^2} \, dt \] ...
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