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>=\int_{C}</math>'''F'''<math>\cdot \text{d}</math>'''r'''
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$\int_{S} \int \text{curl} F \cdot \text{d} S=\int_{C} F \cdot \text{dr}
  
 
==Proof==
 
==Proof==

Revision as of 21:19, 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{d} S=\int_{C} F \cdot \text{dr}

Proof

See Also



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