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x tan^(-1) x...

`x tan^(-1) x`

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To solve the integral \( \int x \tan^{-1}(x) \, dx \), we will use the method of integration by parts. Here’s a step-by-step solution: ### Step 1: Identify the parts for integration by parts We will use the integration by parts formula: \[ \int u \, dv = uv - \int v \, du \] Let: ...
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