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Double Integral

  1. May 5, 2012 #1
    1. The problem statement, all variables and given/known data

    I have to calculate the double integral given below.

    2. Relevant equations

    D√(x2 +y2) dxdy,D=x2+y2≤2x

    3. The attempt at a solution

    How can i calculate the limits from the give inequality to calculate the value of the given double integral?

    Waiting for a kind response.

    Thanks in advance
     
  2. jcsd
  3. May 5, 2012 #2

    tiny-tim

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    Welcome to PF!

    Hi Tayyabah! Welcome to PF! :smile:

    (I see you've discovered how to start a thread! :wink:)
    first, describe (in words) the shape of D

    (that should help you with the limits … alternatively, you may find that a change of coordinates would make it easier :wink:)
     
  4. May 5, 2012 #3
    Thanks a bunch for prompt response.

    If a modify the inequality representing D, it gets the following form

    (x-1)2+y2≤ 1

    Which means (If i am not wrong) D is representing the interior of a circle centered at (1,0) and having radius equal to 1.
     
  5. May 5, 2012 #4

    tiny-tim

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    That's right! :smile:

    ok, now either have limits of x going from 0 to 2, and y as a function of x,

    or y going from -1 to 0, and x as a function of y …

    what do you get? :smile:
     
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