Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §15.6 Stokes’ Theorem and the Curl of F, #49 · Multivariable Calculus · Green, Stokes & divergence

Which integrals are equal when … boundary of … or … boundary…

Which integrals are equal when $C =$ boundary of $S$ or $S =$ boundary of $V$ ?
$\oint F \cdot d R$ $\oint (curl F) \cdot d R$ $\oint (curl F) \cdot n d s$ $\iint F \cdot n d S$
$\iint div F d S$ $\iint (curl F) \cdot n d S$ $\iint (grad div F) \cdot n d S$ $∭ div F d V$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §15.6 Stokes’ Theorem and the Curl of F, #49

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