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?