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FIGURE 1 Definition of surface and volume integral and Gauss-Green divergence theorem.

the volume, it will form a closed surface around the volume. Now, consider a function such as f(A) = A + 3A that applies on the surface of the volume. This function can be integrated over the closed surface and, to do this, the symbol j>A is used. The "O" on the integral symbol signifies that the integration is all around the surface area that encloses the volume. Let As be the result of this integration. Then,

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