1. The problem statement, all variables and given/known data Solve the integral of x2sin(x) / (1+x6) from -pi/2 to pi/2. 2. Relevant equations none 3. The attempt at a solution Well Im supposed to do this using the substitution method, so I tried: u = x2 du = 2x dx which doesn't cancel out any terms u = 1+x6 du = 6x5 dx which again doesn't cancel anything out u = sin(x) du = cox(x) dx useless also Is this possible with substitution? I seem to have tried every option for u. Is there another way to do this? (without taylor series and stuff like that) Thanks for the help! Also, I tried doing this integral on the computer, and it said it cannot be solved because it is probably a "non-elementary integral", hence the title of the thread.