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Homework Statement
integrate xarctanx/(x^2 + 1)^2
Homework 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.
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).