# Polar Coordinates volume question

1. Mar 14, 2009

### gr3g1

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:

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

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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Last edited by a moderator: May 4, 2017
2. Mar 14, 2009

### 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

3. Mar 14, 2009

### ||spoon||

looks ok to me...