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Double integral, change order of integration, int(0,1)int(y,1)(e^(-x^2)*y^2)dxdy

  1. Jul 12, 2010 #1
    hey,

    i'm having some difficulties solving a problem. i want to know exactly how to go about solving it, since i am studying for a final exam. i know that i need to change the order of integration, but i'd also like to see how it's done correctly, since no official answers are provided... (my answer, btw, is (1-2/e)/6)

    int(0,1)int(y,1)(e^(-x^2)*y^2)dxdy

    where int(lower limit, upper limit)

    thanks so much in advance!
     
    Last edited: Jul 12, 2010
  2. jcsd
  3. Jul 12, 2010 #2

    mathman

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    Science Advisor

    Changing the order of integration is easy, but I don't see how it helps.

    If you want to do y first, then you have (0,1) for x and (0,x) for y.
     
  4. Jul 12, 2010 #3
    thank you so much!
     
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