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Showing content from https://en.wikipedia.org/wiki/Template:Intmath below:

Template:Intmath - Wikipedia

From Wikipedia, the free encyclopedia

This template generates integral symbols using unicode, for inline {{math}} formulae as an alternative to LaTeX generated in <math>.

The template has three parameters, applicable one by one:

Integral sign: Choose one of:
- int for ∫ symbol is U+222B
- iint for ∬ (double integral, U+222C),
- iiint for ∭ (triple integral, U+222D),
- oint for ∮ (contour integral, U+222E),
- varointclockwise for ∲ (clockwise contour integral, U+2232),
- ointctrclockwise for ∳ (anticlockwise contour integral, U+2233),
- oiint for ∯ (closed surface integral, U+222F),
- oiiint for ∰ (closed volume integral, U+2230).
These match the LaTeX definitions exactly: please do not modify them for something more "convenient", thank you.
Subscript: Enter the subscript (symbol or short expression), for the lower limit or denoting an n-dimensional space or the (n − 1)- dimensional boundary.
Superscript: Enter the superscript (symbol or short expression) for the upper limit.

NB:

Applying font-style: italic; or font-style: oblique; to the integral symbol has no effect in Firefox, it remains upright. E.g.

∫ yields ∫;

∫ yields ∫.
This template already includes {{su}}.

Gamma function

Γ(z) = ∫^∞ ₀ e^−tt^{z − 1}dt

Γ(''z'') = {{intmath|int|0|∞}} ''e''−''t''''t''''z'' − 1''dt''

Line integral

∲ _C F(x) ∙ dx = −∳ _C F(x) ∙ dx

{{intmath|varointclockwise|''C''}} ''F''('''x''') ∙ ''d'''''x''' = −{{intmath|ointctrclockwise|''C''}} ''F''('''x''') ∙ ''d'''''x'''

Maxwell's equations

∯ _∂V E ∙ dS = ⁠1/ε₀⁠∭ _V ρ dV

∯ _∂V B ∙ dS = 0

∮ _∂S E ∙ dx = −∬ _S ⁠∂B/∂t⁠ ∙ dS

∮ _∂S B ∙ dx = ∬ _S (μ₀J + ⁠1/c²⁠⁠∂E/∂t⁠) ∙ dS

{{intmath|oiint|∂''V''}} '''E''' ∙ ''d'''''S''' = {{sfrac|1|''ε''<sub>0</sub>}}{{intmath|iiint|''V''}} ''ρ'' ''dV''

{{intmath|oiint|∂''V''}} '''B''' ∙ ''d'''''S''' = 0

{{intmath|oint|∂''S''}} '''E''' ∙ ''d'''''x''' = −{{intmath|iint|''S''}} {{sfrac|∂'''B'''|∂''t''}} ∙ ''d'''''S'''

{{intmath|oint|∂''S''}} '''B''' ∙ ''d'''''x''' = {{intmath|iint|''S''}} (''μ''<sub>0</sub>'''J''' + {{sfrac|1|''c''<sup>2</sup>}}{{sfrac|∂'''E'''|∂''t''}}) ∙ ''d'''''S'''

Gamma function

Γ(z) = ∫^∞ ₀ e^−tt^{z − 1}dt

{{math|Γ(''z'') {{=}} {{intmath|int|0|∞}} ''e''−''t''''t''''z'' − 1''dt''}}

Line integral

∲ _CF(x) ∙ dx = −∳ _C F(x) ∙ dx

{{math|{{intmath|varointclockwise|''C''}} ''F''('''x''') ∙ ''d'''''x''' {{=}} −{{intmath|ointctrclockwise|''C''}} ''F''('''x''') ∙ ''d'''''x'''}}

Maxwell's equations

∯ _∂V E ∙ dS = ⁠1/ε₀⁠∭ _V ρ dV

∯ _∂V B ∙ dS = 0

∮ _∂S E ∙ dx = −∬ _S ⁠∂B/∂t⁠ ∙ dS

∮ _∂S B ∙ dx = ∬ _S (μ₀J + ⁠1/c²⁠⁠∂E/∂t⁠) ∙ dS

{{math|{{intmath|oiint|∂''V''}} '''E''' ∙ ''d'''''S''' {{=}} {{sfrac|1|''ε''<sub>0</sub>}}{{intmath|iiint|''V''}} ''ρ'' ''dV''}}

{{math|{{intmath|oiint|∂''V''}} '''B''' ∙ ''d'''''S''' {{=}} 0}}

{{math|{{intmath|oint|∂''S''}} '''E''' ∙ ''d'''''x''' {{=}} −{{intmath|iint|''S''}} {{sfrac|∂'''B'''|∂''t''}} ∙ ''d'''''S'''}}

{{math|{{intmath|oint|∂''S''}} '''B''' ∙ ''d'''''x''' {{=}} {{intmath|iint|''S''}} (''μ''<sub>0</sub>'''J''' + {{sfrac|1|''c''<sup>2</sup>}}{{sfrac|∂'''E'''|∂''t''}}) ∙ ''d'''''S'''}}

{{Intorient}}
{{oiiint}}
{{oiint}}
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