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Integrate the functionsxtan^(-1)x...

Integrate the functions`xtan^(-1)x`

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To solve the integral \( I = \int x \tan^{-1}(x) \, dx \), we will use the method of integration by parts. The formula for integration by parts is given by: \[ \int u \, dv = uv - \int v \, du \] ### Step 1: Choose \( u \) and \( dv \) We choose: ...
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