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Greens theorem

  1. Apr 16, 2012 #1
    [itex]\int[/itex] xy^3 dx+ x^5 dy, where C is the rectangle with vertices (0,0), (4,0), (4,2), and (0,2)

    F(bar)= <P,Q> <xy^3, x^5>
    derivative of P with respect to y= 3xy^2
    derivative of Q with respect to x= 5x^4
    Double [itex]\int[/itex] (5x^4-3xy^2) dx dy with limits for x from (0,2) and y limits (0,4)
    I get 0 for the answer but that is incorrect. I feel like I'm making a small error somewhere. Any guidance would be helpful, thanks.
     
  2. jcsd
  3. Apr 16, 2012 #2

    Dick

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    Looks to me like you've got your x and y limits reversed.
     
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