Hi all, can't quite figure this one out:

I need to find the area inside the cardioid r = 1 + cos(theta)

I set up an iterated integral, the outer of which is for theta from 0 to 2pi, and the inner is from 0 to 1+cos(theta) with respect to r, and the function is just f=1

This gives me 2pi, but the solution is supposed to be 3pi/2. Can anyone point me in the right direction on how to calculate this? It would be greatly appreciated!