1. The problem statement, all variables and given/known data Find the antiderivative of (x*arctan(x))/(1+x^2)^2) 3. The attempt at a solution I've had a few attempt at this (I've been working on it an embarrassingly long time) but i felt most on track doing it by parts. Here's how i went u = arctan(x) du = 1/(1+x^2)*dx dv = x/(1+x^2)^2 let m = 1+x^2 dm = 2x*dv v = 1/2*S(1/m^2)*dm subbing values back in v = (-1/6)*(1+x^2)^(-3) placing it all in uv-S(v*du) (1/6)*arctan(x)*(1+x^2)^(-3)-(1/6)*S(1/(1+x^2)^(4)*dx) Is it possible to integrate S(1/(1+x^2)^(4)*dx) easily? I thought you needed an x somewhere on top to do it by partial fractions. If no one has the time to answer this thanks anyway.