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Divergence Theorem: Difference between revisions

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The '''Divergence Theorem''' is a theorem in [[calculus]] regarding the relationship between surface integral and triple integral.
The '''Divergence Theorem''' is a theorem in [[calculus]] regarding the relationship between surface integral and triple integral.
==Statement==
==Statement==
<math>\int \int \int \text{div F } \text{dV}=\int \int \text{ F} \cdot \text{ dS}</math>
<math>\int_{E} \int \int \text{div F } \text{dV}=\int_{S} \int \text{ F} \cdot \text{ dS}</math>


==Proof==
==Proof==

Latest revision as of 20:26, 8 January 2024

The Divergence Theorem is a theorem in calculus regarding the relationship between surface integral and triple integral.

Statement

$\int_{E} \int \int \text{div F } \text{dV}=\int_{S} \int \text{ F} \cdot \text{ dS}$

Proof

See also



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