Difference between revisions of "Stokes' Theorem"

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'''Stokes' Theorem''' is a theorem in [[calculus]] regarding the relationship between surface integrals and line integrals.
 
'''Stokes' Theorem''' is a theorem in [[calculus]] regarding the relationship between surface integrals and line integrals.
 
==Statement==
 
==Statement==
<math>\int_{S} \int \text{curl} </math>'''F'''<math> \cdot \text{d}</math>'''S'''<math>=</math>
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<math>\int_{S} \int \text{curl F} \cdot \text{dS}=\int_{C} \text{F} \cdot \text{dr}</math>
  
 
==Proof==
 
==Proof==

Latest revision as of 21:20, 8 January 2024

Stokes' Theorem is a theorem in calculus regarding the relationship between surface integrals and line integrals.

Statement

$\int_{S} \int \text{curl F} \cdot \text{dS}=\int_{C} \text{F} \cdot \text{dr}$

Proof

See Also



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