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Evaluate the iterated intergal by converting to polar coordinate?

  1. May 25, 2009 #1
  2. jcsd
  3. May 25, 2009 #2

    tiny-tim

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    hmm … that's [tex]\int_0^2\int_0^{\sqrt{2x-x^2}}\sqrt{x^2+y^2} dxdy[/tex]

    ok … I assume you know how to convert dxdy into r and θ

    and for the limits, convert y2 ≤ 2x - x2 into r and θ also :wink:
     
  4. May 25, 2009 #3
    0≤y≤1
    0≤x≤2
    0≤r≤2
    0≤θ≤ pi/2
    :smile:
     
  5. May 25, 2009 #4

    tiny-tim

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    (have a pi: π :wink:)

    No, the upper limit of r will depend on θ.

    I repeat … convert y2 ≤ 2x - x2 into r and θ
     
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