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Verifying divergence theorem with an example

  • Thread starter grissom
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  • #1
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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.
 

Answers and Replies

  • #2
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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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