Consult this picture:

http://i43.tinypic.com/f224xz.jpg
I want to find the area of the region enclosed by the green outline (so basically the whole yellow/opaque yellow region)

The bigger curve is r=2cos(2theta+(pi/2)) and the smaller curve is just r=cos(2theta)

I thought it would be easiest to find the area of the blue region or the red region and then multiply by 8 and do some subtraction, etc. to get the area I want.

However, I am not sure what to integrate because the theta values of intersection of the curves are different for each curve.

How do I do it?