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Math Help - Reverse the order of the integral

  1. #1
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    Reverse the order of the integral

    Hello,
    plz try to solve this question.
    Thanks
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  2. #2
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    Quote Originally Posted by m777 View Post
    Hello,
    plz try to solve this question.
    Thanks
    This and your last question contained fairly easy integrals. If you are having trouble with them, please make sure try to point out what it is so we can help you.

    In my (rather ugly) notation, we have:
    Int[ Int[(1 - 6x^2*y) dy, -1, 1] dx, 0, 2]
    vs.
    Int[ Int[(1 - 6x^2*y) dx, 0, 2] dy, -1, 1]

    The first is:
    Int[ Int[(1 - 6x^2*y) dy, -1, 1] dx, 0, 2]

    = Int[ [y - 3x^2*y^2, -1, 1], dx, 0, 2]

    = Int[2 dx, 0, 2] = [2x, 0, 2] = 4

    The second is:
    Int[ Int[(1 - 6x^2*y) dx, 0, 2] dy, -1, 1]

    = Int[ [x - 2x^3*y, 0 , 2] dy, -1, 1]

    = Int[(2 - 16y) dy, -1, 1]

    = [2y - 8y^2, -1, 1] = 4

    -Dan
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