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Math Help - Triple Integration, order reversal.

  1. #1
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    Triple Integration, order reversal.

    I forget how to reverse the order of integration for triple integrals, here's the question.

    Express the iterated integral

     \int_{-1}^{1} \int_{z^2}^1 \int_0^{1-y} g(x,y,z)dxdydz

    as an equivalent integral in which the y-integration is performed 1st, the z-integration second, and the x-integration last.

    Thanks for any help.
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  2. #2
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    Limits of integration

    The key is figuring out the limits of integration. Note that the region of space over which you are integrating is the region bound by the plane x=0, the plane x+y=1, and the parabolic cylinder y=z^2.

    --Kevin C.
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  3. #3
    Moo
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    Hello,

    -1<x<1
    zē<y<1
    0<z<1-y

    Just try to get some new inequations, for example 0<z<1 (this one is false, but you can try...)
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  4. #4
    MHF Contributor Mathstud28's Avatar
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    It really helps

    to get a visual so as that you can see exactly what you are dealing with
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