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Change to polar coordinates and integrate

  1. Jun 28, 2010 #1
    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. jcsd
  3. Jun 28, 2010 #2


    Staff: Mentor

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