The questions is to find the area in the bounded region in polar coordinates
$r = \sqrt{\theta}$ from $3\pi/2$ to $2\pi$
Here is what I did: I got the integral of $\cfrac{1}{2}\theta d\theta$ from $3\pi/2$ to $2\pi$. Then I integrated and got $\cfrac {1}{4} \theta ^2$ from $3\pi/2$ to $2\pi$. As a result, I got $\cfrac {7}{16}\pi^2$
But I felt that there might be something wrong with my answer. Can someone tell me about this? Thanks