Polar Coordinates volume question

[gr3g1]

http://containsno.info/mq.JPG

The problem says evaluate the double integral (x + y)dA over the dark region shown in the Figure:

I set up the integrals like this:

$$\int_{0}^{\pi /2}\int_{2sin\o }^{2} (rcos\o + rsin\o)rdrd\o$$

Is this correct?

Thanks a lot everyone

 

[lanedance]

i can't see your pic, but the limts on you intergration say its:

the +x, +y quandrant (0,pi/2)
and the radius varies from the curve defined by r = 2sin(phi) and the circle of radius 2

 

[||spoon||]

looks ok to me...