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Evaluate: int0^1sin^(-1)((2x)/(1+x^2))dx...

Evaluate: `int_0^1sin^(-1)((2x)/(1+x^2))dx`

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To evaluate the integral \( I = \int_0^1 \sin^{-1}\left(\frac{2x}{1+x^2}\right) dx \), we can use integration by parts. Let's go through the steps systematically. ### Step 1: Set up integration by parts We will use the formula for integration by parts: \[ \int u \, dv = uv - \int v \, du \] Let: ...
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