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Evaluate : int ( tan (sin^(-1)x))/(sqrt(...

Evaluate : `int ( tan (sin^(-1)x))/(sqrt(1-x^(2))) " dx"`

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To evaluate the integral \( \int \frac{\tan(\sin^{-1} x)}{\sqrt{1 - x^2}} \, dx \), we can follow these steps: ### Step 1: Substitution Let \( t = \sin^{-1} x \). Then, we differentiate both sides: \[ dx = \frac{1}{\sqrt{1 - x^2}} \, dt \] This means that: ...
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