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Polar Coordinates

  1. Feb 23, 2014 #1

    dwn

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    1. The problem statement, all variables and given/known data

    Image attached

    2. Relevant equations

    r2=x2+y2

    3. The attempt at a solution

    ∫∫ re-r^2 drdΘ

    I'm not sure how to establish the boundaries. This is an online class so if you can offer any additional tips for evaluating types of integrals of this sort, that would be great. Thank you.
     

    Attached Files:

  2. jcsd
  3. Feb 23, 2014 #2

    haruspex

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    Try to graph the region.
    If you want to approach it purely algebraically, the bounds are 0 < x < 1, 0< y < √(1-x2). Substitute the polar forms for x and y.
     
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