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

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

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To integrate the function \( \sin^{-1}\left(\frac{2x}{1+x^2}\right) \), we can follow these steps: ### Step 1: Substitution Let \( x = \tan(\theta) \). Then, we have: \[ dx = \sec^2(\theta) d\theta \] Substituting \( x \) into the function, we get: ...
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