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.
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???