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Double integral

  1. Jul 9, 2008 #1
    1. The problem statement, all variables and given/known data
    [tex]\int\int_R x-1 dA[/tex]
    R is the region in the first quadrant enclosed between y=x and y=x^3



    2. Relevant equations



    3. The attempt at a solution

    I set up the bounds as follows: [tex]\int_{x=0}^1\int_{y=x^3}^x x-1 dydx[/tex]

    Integrating, I get -7/60, verified with CAS.

    I thought this was an easy problem but my answer doesn't match the textbook (-1/2 but could be a misprint, right?) or did I somehow put the bounds of integration wrong?
     
  2. jcsd
  3. Jul 9, 2008 #2

    Dick

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    It looks fine to me.
     
  4. Jul 9, 2008 #3

    arildno

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    I agree with your answer
     
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