Discussion
Gauss's divergence theorem states that the flux out of a closed surface equals
Answer: B
The theorem reads
\[ \oiint_{S} \mathbf{F} \cdot \mathbf{n}\,dS \;=\; \iiint_{V} \nabla \cdot \mathbf{F}\,dV. \]
It is the statement that what leaves a region is what the sources inside it produce, and it is what turns the integral form of a conservation law into its differential form. A closed surface has no boundary curve, so no line integral arises
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