The following vector integrals are related to the curl theorem. If
 |
(1)
|
then
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(2)
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If
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(3)
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then
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(4)
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The following are related to the divergence theorem. If
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(5)
|
then
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(6)
|
Finally, if
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(7)
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then
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(8)
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Vector Integral
See also
Curl Theorem, Divergence Theorem, Gradient Theorem, Green's Identities, Line Integral, Surface Integral, Volume IntegralExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Vector Integral." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/VectorIntegral.html