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Math Help - Surface Integration

  1. #1
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    Surface Integration

    The original question:


    So far I know it has 4 surfaces and only the bottom face will have -k.

    I thought of breaking it down by
    S1: Front Face
    S2: Left Face with points (0,0,0), (1,0,0), and (0,0,1)

    S3: Right Face with Points (0,0,0), (0,1,0) and (0,0,1)

    S4: The bottom face

    Thanks,
    Evan
    Last edited by 360modina; October 21st 2008 at 06:38 AM. Reason: 1st attempt
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  2. #2
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    2nd attempt

    From the plot I think I found that:



    z=1-x-y

    S1) Has points (1,0,0), (0,1,0), (0,0,1) Plane Equation Becomes -x-y-z=0

    S2) Has points (0,0,0), (1,0,0), (0,0,1) Plane Equation Becomes y=0

    S3) Has Points (0,0,0), (0,1,0), (0,0,1) Plane Equation Becomes -x=0

    S4) Has Points (0,0,0), (1,0,0), (0,1,0) Plane Equation Becomes -z=0

    any idea what the next step should be?
    Last edited by 360modina; October 21st 2008 at 08:31 AM.
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  3. #3
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    Anyone know if S2 and S3 should yield an answer of 0??
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