1. The problem statement, all variables and given/known data 2. Relevant equations I hope there's someone who can help me with the following: I have to calculate the integral over C (the unit cicle) of (z+(1/z))^n dz, where z is a complex number. 3. The attempt at a solution I tried to use the subtitution z=e^(i*theta), so you get (z+(1/z))^n dz=(2*i*Sin(theta))^n * i*e^(i*theta) dtheta but then I get stuck. Is this the right way, and if, how do I proceed. And if it isn't, how should I do it???