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Math Help - Limits of a Triple Integral

  1. #1
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    Limits of a Triple Integral

    The question I am trying to work out states that a TETRAHEDRON, T, is bounded by the planes x=2, y=0, z=0 and 3x-6y-2z=0.

    The triple integral is given as: \int\int\int_{T} x dv

    I am have an extremely tough time in trying to visualize and draw the region, also determining the limits of each of the integral.

    I think the innermost limit for dz would be 0\leq z \leq \frac{3}{2}x - 3y but the others have me stumped.

    Help anyone?
    Tammy
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  2. #2
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    Re: Limits of a Triple Integral

    Limits of a Triple Integral-fig002.png
    See the attached figures and try to visualize the limits....

    Limits of a Triple Integral-fig001.png
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  3. #3
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    Re: Limits of a Triple Integral

    Thank you for the images. Now I do can visualise the planes.

    But I am really sorry to be so dense but how do I determine the limits for dy and dx.

    Do I need to work out where the planes intersect? I am really struggling to understand this.
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