I assume that you are integrating with respect to . You mostly need the following identities

Then you find the limit as . It is 1/2 or -1/2 depending on whether or not. Suppose that . Then

The integral in the denominator is

Converting to trigonometric form, the top integral becomes

and the bottom integral becomes

The fraction of these simplifies to

The whole sum is now equal to

I'm not sure how one can proceed from here.