Originally Posted by

**Astrofiend** I am trying to do the integral

$\displaystyle

\displaystyle\int^\pi_0 F(\theta)\,d\theta

$

...where

$\displaystyle

F(\theta) = \frac{\epsilon(1-cos\theta)}{1+\epsilon(1-cos\theta)}

$

...and epsilon is a constant.

I have absolutely no idea how to even start on this one! Perhaps making a substitution $\displaystyle u = 1-cos\theta $? Then integration by parts?

I've tried working through some of this, but get nowhere quickly. Any help or pointers in the right direction would be most appreciated!