- #1

d2j2003

- 58

- 0

## Homework Statement

The original problem is to find the integral from 0 to 2[itex]\pi[/itex] of [itex]\frac{1}{2\pi}e^{cosθ}cos(2θ)[/itex]

## Homework Equations

I have it down to two equations which I believe I have to find the residues of and add the results, multiply by 2[itex]\pi[/itex]i and I will have my answer.

## The Attempt at a Solution

Have 1/2(∫e[itex]^{1/2(z+1/z)}[/itex]*z + ∫e[itex]^{1/2(z+1/z)}[/itex]*(1/z[itex]^{3}[/itex])

so I believe I have to find Res(e[itex]^{1/2(z+1/z)}[/itex]*z) and Res(e[itex]^{1/2(z+1/z)}[/itex]*(1/z[itex]^{3}[/itex])

If this is correct I really am unsure of how to find these residues..