Polar Coordinates volume question

http://containsno.info/mq.JPG [Broken]

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:

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

Is this correct?

Thanks a lot everyone
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution


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Homework Helper
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
looks ok to me...

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