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Homework Help: Divergence theorem

  1. May 4, 2009 #1
    Given F = xyz i + (y^2 + 1) j + z^3 k
    Let S be the surface of the unit cube 0 ≤ x, y, z ≤ 1. Evaluate the surface integral ∫∫(∇xF).n dS using
    a) the divergence theorem
    b) using Stokes' theorem


    Since the divergence theorem involves a dot product rather than a curl,how would it apply in this problem (which asks for the curl)?
  2. jcsd
  3. May 4, 2009 #2
    You would treat [tex]\nabla \times F[/tex] as a new vector, and just use it in the divergence theorem.
  4. May 4, 2009 #3


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    Homework Helper
    Gold Member

    Hi jaejoon89,

    You already posted this question, and someone has replied to it. If you have any further questions, use the same thread.
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