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Verifying divergence theorem with an example

  1. Mar 25, 2010 #1
    Verify the divergence theorem when F=xi+yj+zk and sigma is the closed surface bounded by the cylindrical surface x^2+y^2=1 and the planes z=0, z=1.

    I've done the triple integral side of the equation and got 3pi but don't know how to solve the flux side of the equation [tex]\oint\oint[/tex]F.ds.

    Any help is appreciated. Also, this is my first time using this, so the symbols may be a bit off.
  2. jcsd
  3. Mar 25, 2010 #2
    You have to break up the cylindrical surface into three parts: the top, bottom and the "sides" for the lack of a better word. Then, perform the integral of F over each surface and finally, sum them up.
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