# Math Help - Find the area of the region by double integration

1. ## Find the area of the region by double integration

The question states:

Find the area of the region by double integration.

The region inside the circle $r=4cos(\Theta)$ but outside the circle $r=2$.

I set up the problem with $\int_{0}^{2\pi} \int_{2}^{4cos\Theta} rdrd\Theta$

However, the answer I got in the end was $4\pi$, I'm assuming it's because of the way I set it up rather than a calculation error since I did it several times. The correct answer according to the textbook is $4\pi/3 +2\sqrt{3}$.

Thanks, any help would be appreciated.

2. You're $\theta$ limits are incorrect.

3. Thank you very much, I figured out what the actual theta parameters are.