(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

integrate xarctanx/(x^2 + 1)^2

2. Relevant equations

Integration by parts possibly? I was attempting to do it without integration by parts because we went over this in tutorial and my TA couldn't solve it properly, hence why I'm here.

3. The attempt at a solution

I thought I could sub u = xarctanx so that du = 1/(x^2 + 1) dx but then I'm still left with one of the two x^2 + 1's. Wolfram gave me usinucosu du as the integral after substitution was complete and I feel like knowing how this was possible will be useful if I see any integrals like this in the future (rather than having to try integrating by parts).

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# Homework Help: Trigonometric / Mixed Integral Involving Substitution

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