1. The problem statement, all variables and given/known data Find the integral of sin^7 x/(1+x^10) dx from -pi/2 to pi/2. 2. Relevant equations None. 3. The attempt at a solution sin^7 x means sinx to the 7th power. But how do I find this strange integral? I don't think u-substitution, trig identity, any of them will work.