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Homework Help: Polar Coordinates volume question

  1. Mar 14, 2009 #1
    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

    Attached Files:

    • mq.PNG
      File size:
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    • mq.JPG
      File size:
      7.1 KB
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Mar 14, 2009 #2


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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
  4. Mar 14, 2009 #3
    looks ok to me...
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