Hey everybody,

My class is learning integration by substitution and integration by parts right now, and I'm having a lot of trouble with them.

Right now, I need to find the antiderivative of $\displaystyle [(x^2)/(x^2 + 1)]dx$.

I've tried letting $\displaystyle u = x^2$ and $\displaystyle dv = [1/(x^2 + 1)]dx$, but I don't know if that's correct, because now I'm stuck at a weird place where I have to find the antiderivative of $\displaystyle [x arctan(x)]dx$, and I don't think we're supposed to have to do that much at this level.

Could anyone please help me out or point me in the right direction? Thank you!