- #1

brandones

- 3

- 0

## Homework Statement

Integrate:

[tex]\int \frac{1}{(3+2cos(θ))} dθ [/tex] evaluated from zero to pi.

## Homework Equations

I can't think of any. All of the integration formulas in the text rely on the existence of a singularity somewhere in the complex plane. This thing is analytic everywhere.

## The Attempt at a Solution

Since it's analytic everywhere, its integral over any closed loop equals zero. That tells me that its integral along the x-axis from zero to pi is equal to the negative of its integral along any other path from pi to zero. I tried to find a path along which cos(theta) is linear (which would give it average value zero) to no avail. I have no idea where to go.