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Math Help - NEED HELP SETTING UP INTEGRAL!!

  1. #1
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    NEED HELP SETTING UP INTEGRAL!!

    A region E is bounded by the parabolic cylinder x = and the planes z = 0 and x + z = 1

    express the triple integral as an iterated integral for dx dy dz and
    dx dz dy
    ONLY NEED HELP SETTING UP INTEGRALS
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  2. #2
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    Quote Originally Posted by AshleyS View Post
    A region E is bounded by the parabolic cylinder x = and the planes z = 0 and x + z = 1

    express the triple integral as an iterated integral for dx dy dz and
    dx dz dy
    ONLY NEED HELP SETTING UP INTEGRALS
    V = \int_{x=0}^{1} \int_{y=-\sqrt{x}}^{y = +\sqrt{x}} \int_{z = 0}^{z = 1 - x} \, dz \, dy \, dx.

    Alternatively:

    V = \int_{y=-1}^{1} \int_{x = y^2}^{1} \int_{z = 0}^{z = 1 - x} \, dz \, dy \, dx.
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