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Surface Integral

  1. May 6, 2013 #1
    1. The problem statement, all variables and given/known data
    Evaluate ∫∫σ where S is a surface with sides S1, S2, and S3. S1 is a portion of the cylinder x2+y2 = 1 whose bottom S2 is the disk x2+y2 ≤ 1 and whose top S3 is the portion of the plane z = 1 + x that lies above S2.

    2. Relevant equations
    Surface integrals, and vector calculus.

    3. The attempt at a solution
    I am more stuck with starting this problem. Do I need to do two surface integrals, or something else? I am just completely lost on what to do here...
  2. jcsd
  3. May 6, 2013 #2


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    What are you integrating over the surface? You can do it by integrating over the three surfaces and adding them or you might replace the surface integral with a volume integral using the divergence theorem if you just need the total over all three surfaces. Just start doing something.
  4. May 7, 2013 #3
    I though I could only use the divergence theorem for flux?
  5. May 7, 2013 #4


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    Of course, if it's not a flux integral then you can't use the divergence theorem. That's why I was asking WHAT you are integrating.
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