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Limitations of the divergence theorem

  1. May 21, 2012 #1
    1. The problem statement, all variables and given/known data

    Evaluate the surface integral F * dr, where F=<0, y, -z> and the S is y=x^2+y^2 where y is between 0 and 1.

    2. Relevant equations

    Divergence theorem

    3. The attempt at a solution

    I just got out of my calculus final, and that was a problem on it. I used the divergence theorem and got div F = 0 + 1 - 1 =0

    Therefore the triple integral and therefore the surface integral will return 0. Is this true? I thought it was too easy, I can't see why it wouldn't be true.

    Is there a limitation I glossed over?
  2. jcsd
  3. May 21, 2012 #2
    Don't think so, that should work. Try evaluating the surface integral and seeing if it also returns 0.
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