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Surface Integral

  1. Nov 26, 2013 #1
    1. The problem statement, all variables and given/known data
    Take the double Integral of (xy+e^z)dS where S is the triangle with vertices (0,0,3),(1,0,2),(0,4,1).

    2. Relevant equations

    3. The attempt at a solution
    So the equation of the plane for the triangle given is z = 3 - x - (1/2)y. We plugged that Z into the z from the function given and are having a bit of trouble finding the bounds we integrate the double integral over. Help!?!
  2. jcsd
  3. Nov 26, 2013 #2


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    If you take z as a function of x and y, you want to project the 3 vertices down to the xy plane and use the triangle it forms for the limits.
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