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Math Help - Nested integral problem

  1. #1
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    Nested integral problem

    I need to find the volume bounded by the planes 1 - x- y, x = 0, y =0 and z = 0

    Since it is volume I think I am looking for a double integral would both integrals have the limits from 0 to 0.5 and the function be 1 - x - y?????? Frostking
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  2. #2
    Senior Member bkarpuz's Avatar
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    Wink


    Due to the graphic above, the volume must be
    \int_{0}^{1}\int_{0}^{1-y}(1-x-y)\mathrm{d}x\mathrm{d}y.

    Please check it, and try to see that y:0\to1 and x:0\to1-y.
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