Template: Oiint

x44px

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This template is used to include the double closed integral, usually in a mathematical formula. It overcomes a limitation of the TeX rendering which cannot display this symbol without clumsy workarounds.

Arguments

• preintegral the text or formula immediately before the integral
• intsubscpt the subscript below the integral
• integrand the text or formula immediately after the formula

All parameters are optional.

Examples

Two of Maxwell's equations, e.g. the Maxwell–Faraday equation and Ampère's circuital law (with Maxwell's addition).

<source lang="tex">:<math>\oint_C \bold{E} \cdot {\rm d} \boldsymbol{\ell} = \frac{\partial }{\partial t} </math> x44px<math>{\scriptstyle S}</math> <math>\bold{B} \cdot {\rm d}\bold{S}</math></source>

<math>\oint_C \bold{E} \cdot {\rm d} \boldsymbol{\ell} = \frac{\partial }{\partial t} </math> x44px<math>{\scriptstyle S}</math> <math>\bold{B} \cdot {\rm d}\bold{S}</math>

<source lang="tex">:<math>\oint_C \bold{B} \cdot {\rm d} \boldsymbol{\ell} = \mu_0 </math> x44px<math>{\scriptstyle S}</math> <math>\left ( \bold{J} + \epsilon_0\frac{\partial \bold{E{\partial t} \right )\! \cdot {\rm d}\bold{S}</math> }}</source>

<math>\oint_C \bold{B} \cdot {\rm d} \boldsymbol{\ell} = \mu_0 </math> x44px<math>{\scriptstyle S}</math> <math>\left ( \bold{J} + \epsilon_0\frac{\partial \bold{E{\partial t} \right )\! \cdot {\rm d}\bold{S}</math>

}}

See also

• {{Oiiint}} (to implement triple closed integrals)
• {{Intorient}} (to implement oriented boundary integrals over a 2-surface and 3-surface)

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