Plantilla:Intmath/doc

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

Parameters

The template has three parameters, applicable one by one:

1. 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.
2. Subscript: Enter the subscript (symbol or short expression), for the lower limit or denoting an n-dimensional space or the (n − 1)- dimensional boundary.
3. 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.

  <span style="font-style: italic;">∫</span> yields ∫;

  <span style="font-style: oblique;">∫</span> yields ∫.

• This template already includes {{su}}.

Examples

No {{math}}

Gamma function

Γ(z) = ∫Plantilla:Su e^−tt^{z − 1}dt

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

Line integral

∲Plantilla:Su F(x) ∙ dx = −∳Plantilla:Su F(x) ∙ dx

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

Maxwell's equations

∯Plantilla:Su E ∙ dS = Plantilla:Sfrac∭Plantilla:Su ρ dV

∯Plantilla:Su B ∙ dS = 0

∮Plantilla:Su E ∙ dx = −∬Plantilla:Su Plantilla:Sfrac ∙ dS

∮Plantilla:Su B ∙ dx = ∬Plantilla:Su (μ₀J + Plantilla:SfracPlantilla:Sfrac) ∙ 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'''

{{math}}

Gamma function

Γ(z) = ∫Plantilla:Su e^−tt^{z − 1}dt

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

Line integral

∲Plantilla:SuF(x) ∙ dx = −∳Plantilla:Su F(x) ∙ dx

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

Maxwell's equations

∯Plantilla:Su E ∙ dS = Plantilla:Sfrac∭Plantilla:Su ρ dV

∯Plantilla:Su B ∙ dS = 0

∮Plantilla:Su E ∙ dx = −∬Plantilla:Su Plantilla:Sfrac ∙ dS

∮Plantilla:Su B ∙ dx = ∬Plantilla:Su (μ₀J + Plantilla:SfracPlantilla:Sfrac) ∙ 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'''}}

See also

• {{Intorient}}
• {{oiiint}}
• {{oiint}}
• Wikipedia:Rendering math