important integral theorem

gradient theorem

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Green's theorem

Physical meaning: The line integral of the velocity vector V on this closed curve == the area integral of the curl of the flow field on the flow field R.
The direction of the integral follows the right-hand rule
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Stokes theorem

The connection between the three-dimensional form of Green's theorem space curve integral and the space curve integral

Stokes theoremThe direction of integration follows the right-hand rule

Gauss's theorem (divergence theorem)

The net flux in space through this closed surface == the volume fraction of the control volume enclosed by the divergence
Insert image description hereGaussian (divergence) theorem applies equally to scalars and tensors

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Leibniz's integral ruleInsert image description hereInsert image description here

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Origin blog.csdn.net/pjm616/article/details/127677829
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