# Homework Help: Change to polar coordinates and integrate

1. Jun 28, 2010

### ahmetbaba

1. The problem statement, all variables and given/known data

evaluate the iterated integral by converting to polar coordinates

integral, integral x2dxdy, the limits are 4 to 0 for the outer integral, and /sqrt(4y-y2) to 0 for the inner integral.

2. Relevant equations

3. The attempt at a solution

well x=rcos(/theta) so x2 = (rcos(/theta))2,

however I have trouble converting the limits to polar coordinates here, I think the outer integrals limits here are from /pi/2 to 0 , and the inner integrals limits are from 1 to 0.

Is this set up correct so far?

So I have, integral, integral r2cos(/theta)2 limits from /pi/2 to 0, and 1 to 0

2. Jun 28, 2010

### Staff: Mentor

I don't think so. The region over which integration takes place is a simple geometric shape. What is it?