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## Homework Statement

## Homework 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.

## 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?

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