Wikipedia>Frietjes at 15:08, 4 July 2017

2017-07-04T15:08:53Z

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This template generates [[integral symbol]]s using [[unicode]], for inline {{tl|math}} formulae as an alternative to [[LaTeX]] generated in [[Wikipedia:«math»|<math>]].

==Parameters==
The template has three parameters, applicable one by one:

<ol>
<li>'''''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 manifold|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'''''.</li>
<li>'''''Subscript:''''' Enter the subscript (symbol or short expression), for the lower limit or denoting an ''n''-[[Dimension (mathematics and physics)|dimension]]al space or the (''n'' − 1)- dimensional [[boundary (topology)|boundary]].</li>
<li>'''''Superscript:''''' Enter the superscript (symbol or short expression) for the upper limit.</li>
</ol>

'''NB:'''
*Applying {{code|font-style: italic;}} or {{code|font-style: oblique;}} to the integral symbol has no effect in Firefox, it remains upright. E.g.
*:{{code|∫}} yields ∫;
*:{{code|∫}} yields ∫.
*This template already includes {{tl|su}}.

==Examples==
===No {{tl|math}}===
[[Gamma function]]

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

:<code><nowiki>Γ(''z'') = {{intmath|int|0|∞}} ''e''−''t''''t''''z'' − 1''dt''</nowiki></code>

[[Line integral]]

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

:<code><nowiki>{{intmath|varointclockwise|''C''}} ''F''('''x''') ∙ ''d'''''x''' = −{{intmath|ointctrclockwise|''C''}} ''F''('''x''') ∙ ''d'''''x'''</nowiki></code>

[[Maxwell's equations]]

:{{intmath|oiint|∂''V''}} '''E''' ∙ ''d'''''S''' = {{sfrac|1|''ε''0}}{{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''0'''J''' + {{sfrac|1|''c''2}}{{sfrac|∂'''E'''|∂''t''}}) ∙ ''d'''''S'''

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

:<code><nowiki>{{intmath|oiint|∂''V''}} '''B''' ∙ ''d'''''S''' = 0</nowiki></code>

:<code><nowiki>{{intmath|oint|∂''S''}} '''E''' ∙ ''d'''''x''' = −{{intmath|iint|''S''}} {{sfrac|∂'''B'''|∂''t''}} ∙ ''d'''''S'''</nowiki></code>

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

==={{tl|math}}===
[[Gamma function]]

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

:<code><nowiki>{{math|Γ(''z'') {{=}} {{intmath|int|0|∞}} ''e''−''t''''t''''z'' − 1''dt''}}</nowiki></code>

[[Line integral]]

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

:<code><nowiki>{{math|{{intmath|varointclockwise|''C''}} ''F''('''x''') ∙ ''d'''''x''' {{=}} −{{intmath|ointctrclockwise|''C''}} ''F''('''x''') ∙ ''d'''''x'''}}</nowiki></code>

[[Maxwell's equations]]

:{{math|{{intmath|oiint|∂''V''}} '''E''' ∙ ''d'''''S''' {{=}} {{sfrac|1|''ε''0}}{{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''0'''J''' + {{sfrac|1|''c''2}}{{sfrac|∂'''E'''|∂''t''}}) ∙ ''d'''''S'''}}

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

:<code><nowiki>{{math|{{intmath|oiint|∂''V''}} '''B''' ∙ ''d'''''S''' {{=}} 0}}</nowiki></code>

:<code><nowiki>{{math|{{intmath|oint|∂''S''}} '''E''' ∙ ''d'''''x''' {{=}} −{{intmath|iint|''S''}} {{sfrac|∂'''B'''|∂''t''}} ∙ ''d'''''S'''}}</nowiki></code>

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

==See also==
*{{tl|Intorient}}
*{{tl|oiiint}}
*{{tl|oiint}}
*[[Wikipedia:Rendering math]]
{{Math templates|notation}}

<includeonly>{{basepage subpage|

[[Category:Mathematical formatting templates]]
}}</includeonly>

Template:Intmath/doc - Revision history

Wikipedia>Frietjes at 15:08, 4 July 2017