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'''''Note''': the ''{{tlx|intmath/sandbox}}'' code is tweaked and/or optimized for use inside the ''{{tlx|math}}'' and ''{{tlx|bigmath}}'' templates.''

In IE, except for <code>int</code>, all the integrals seem to render in the [[Template talk:Intmath#Beautiful integral symbols in font-family: 'Lucida Sans Unicode';|beautiful font 'Lucida Sans Unicode']], but in Firefox we get this ugly font (it is passable for text style, but would be really ugly in display style)! In which [ugly] font do the integral symbols, other than <code>int</code>, render? Also, in which font does <code>int</code> render? &mdash; [[User:Tentacles|Tentacles]]<sup>[[User_talk:Tentacles|Talk]] or <span style="font-size: 125%;">✉</span> [[Special:EmailUser/Tentacles|<code>mailto:</code>''Tentacles'']]</sup> 17:50, 22 March 2016 (UTC)
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== No {{tl|math}} ==

Compare vertical alignment and obliqueness of [rotated] int with other [italic] integral symbols:

:{{intmath/sandbox|int}}&#x200A;<!-- 1 hair space -->{{intmath/sandbox|oiint}}&#x200A;<!-- 1 hair space -->{{intmath/sandbox|int}}

:<code><nowiki>{{intmath/sandbox|int}}&amp;#x200A;<!-- 1 hair space -->{{intmath/sandbox|oiint}}&amp;#x200A;<!-- 1 hair space -->{{intmath/sandbox|int}}</nowiki></code>

[[Gamma function]] (non-italic int as default)

:'''Sandbox:''' Γ(''z'') = {{intmath/sandbox||0|∞}} ''e''<sup>−''t''</sup>&#x200A;<!-- hair space -->''t''&#x200A;<!-- hair space --><sup>''z''&#x200A;<!-- hair space -->−&#x200A;<!-- hair space -->1</sup>''dt''<!--     -->&nbsp;&nbsp;&nbsp;&nbsp;''(With the ''{{tl|math}}'' template, the limits have a much better alignment with the integral symbol.)''
:'''Current:''' Γ(''z'') = {{intmath||0|∞}} ''e''<sup>−''t''</sup>&#x200A;<!-- hair space -->''t''&#x200A;<!-- hair space --><sup>''z''&#x200A;<!-- hair space -->−&#x200A;<!-- hair space -->1</sup>''dt''

:<code><nowiki>Γ(''z'') = {{intmath||0|∞}} ''e''<sup>−''t''</sup>&amp;#x200A;<!-- hair space -->''t''&amp;#x200A;<!-- hair space --><sup>''z''&amp;#x200A;<!-- hair space -->−&amp;#x200A;<!-- hair space -->1</sup>''dt''</nowiki></code>

[[Gamma function]]

:'''Sandbox:''' Γ(''z'') = {{intmath/sandbox|int|0|∞}} ''e''<sup>−''t''</sup>&#x200A;<!-- hair space -->''t''&#x200A;<!-- hair space --><sup>''z'' − 1</sup>''dt''<!--     -->&nbsp;&nbsp;&nbsp;&nbsp;''(With the ''{{tl|math}}'' template, the limits have a much better alignment with the integral symbol.)'' 
:'''Current:''' Γ(''z'') = {{intmath|int|0|∞}} ''e''<sup>−''t''</sup>&#x200A;<!-- hair space -->''t''&#x200A;<!-- hair space --><sup>''z''&#x200A;<!-- hair space -->−&#x200A;<!-- hair space -->1</sup>''dt''

:<code><nowiki>Γ(''z'') = {{intmath|int|0|∞}} ''e''<sup>−''t''</sup>&amp;#x200A;<!-- hair space -->''t''&amp;#x200A;<!-- hair space --><sup>''z''&amp;#x200A;<!-- hair space -->−&amp;#x200A;<!-- hair space -->1</sup>''dt''</nowiki></code>

[[Line integral]]

:'''Sandbox:''' {{intmath/sandbox|varointclockwise|''C''}} ''F''('''x''') ∙ ''d'''''x''' = −{{intmath/sandbox|ointctrclockwise|''C''}} ''F''('''x''') ∙ ''d'''''x'''
:'''Current:''' {{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]]

'''Sandbox:'''

:Gauss's law {{intmath/sandbox|oiint|∂&Omega;}} '''E''' ∙ ''d'''''S''' = {{sfrac|1|''ε''<sub>0</sub>}}{{intmath/sandbox|iiint|&Omega;}} ''ρ'' ''dV''
:Gauss's law for magnetism {{intmath/sandbox|oiint|∂&Omega;}} '''B''' ∙ ''d'''''S''' = 0
:Maxwell–Faraday equation {{intmath/sandbox|oint|∂&Sigma;}} '''E''' ∙ ''d''<nowiki />'''''&#x2113;<!-- ℓ -->''''' = −{{intmath/sandbox|iint|&Sigma;}} {{sfrac|∂'''B'''|∂''t''}} ∙ ''d'''''S'''
:Ampère's circuital law {{intmath/sandbox|oint|∂&Sigma;}} '''B''' ∙ ''d''<nowiki />'''''&#x2113;<!-- ℓ -->''''' = {{intmath/sandbox|iint|&Sigma;}} {{big|(}}&#x200A;<!-- hair space -->''μ''<sub>0</sub>'''J''' + {{sfrac|1|''c''<sup>2</sup>}}{{sfrac|∂'''E'''|∂''t''}}{{big|)}} ∙ ''d'''''S'''

'''Current:'''

:Gauss's law {{intmath|oiint|∂&Omega;}} '''E''' ∙ ''d'''''S''' = {{sfrac|1|''ε''<sub>0</sub>}}{{intmath|iiint|&Omega;}} ''ρ'' ''dV''
:Gauss's law for magnetism {{intmath|oiint|∂&Omega;}} '''B''' ∙ ''d'''''S''' = 0
:Maxwell–Faraday equation {{intmath|oint|∂&Sigma;}} '''E''' ∙ ''d''<nowiki />'''''&#x2113;<!-- ℓ -->''''' = −{{intmath|iint|&Sigma;}} {{sfrac|∂'''B'''|∂''t''}} ∙ ''d'''''S'''
:Ampère's circuital law {{intmath|oint|∂&Sigma;}} '''B''' ∙ ''d''<nowiki />'''''&#x2113;<!-- ℓ -->''''' = {{intmath|iint|&Sigma;}} {{big|(}}&#x200A;<!-- hair space -->''μ''<sub>0</sub>'''J''' + {{sfrac|1|''c''<sup>2</sup>}}{{sfrac|∂'''E'''|∂''t''}}{{big|)}} ∙ ''d'''''S'''

:<code><nowiki>{{intmath|oiint|∂&Omega;}} '''E''' ∙ ''d'''''S''' = {{sfrac|1|''ε''<sub>0</sub>}}{{intmath|iiint|&Omega;}} ''ρ'' ''dV''</nowiki></code>
:<code><nowiki>{{intmath|oiint|∂&Omega;}} '''B''' ∙ ''d'''''S''' = 0</nowiki></code>
:<code><nowiki>{{intmath|oint|∂&Sigma;}} '''E''' ∙ ''d''<nowiki />'''''&#x2113;<!-- ℓ -->''''' = −{{intmath|iint|&Sigma;}} {{sfrac|∂'''B'''|∂''t''}} ∙ ''d'''''S'''</nowiki></code>
:<code><nowiki>{{intmath|oint|∂&Sigma;}} '''B''' ∙ ''d''<nowiki />'''''&#x2113;<!-- ℓ -->''''' = {{intmath|iint|&Sigma;}} {{big|(}}&#x200A;<!-- hair space -->''μ''<sub>0</sub>'''J''' + {{sfrac|1|''c''<sup>2</sup>}}{{sfrac|∂'''E'''|∂''t''}}{{big|)}} ∙ ''d'''''S'''</nowiki></code>

== {{tl|math}} ==

Compare vertical alignment and obliqueness of [rotated] int with other [italic] integral symbols:

:{{math| {{intmath/sandbox|int}}&#x200A;<!-- 1 hair space -->{{intmath/sandbox|oiint}}&#x200A;<!-- 1 hair space -->{{intmath/sandbox|int}} }}

:<code><nowiki>{{math| {{intmath/sandbox|int}}&amp;#x200A;<!-- 1 hair space -->{{intmath/sandbox|oiint}}&amp;#x200A;<!-- 1 hair space -->{{intmath/sandbox|int}} }}</nowiki></code>

[[Gamma function]] (non-italic int as default)

:'''Sandbox:''' {{math|Γ(''z'') {{=}} {{intmath/sandbox||0|∞}} ''e''<sup>−''t''</sup>&#x200A;<!-- hair space -->''t''&#x200A;<!-- hair space --><sup>''z''&#x200A;<!-- hair space -->−&#x200A;<!-- hair space -->1</sup>''dt''}}
:'''Current:''' {{math|Γ(''z'') {{=}} {{intmath||0|∞}} ''e''<sup>−''t''</sup>&#x200A;<!-- hair space -->''t''&#x200A;<!-- hair space --><sup>''z''&#x200A;<!-- hair space -->−&#x200A;<!-- hair space -->1</sup>''dt''}}

:<code><nowiki>{{math|Γ(''z'') {{=}} {{intmath||0|∞}} ''e''<sup>−''t''</sup>&amp;#x200A;<!-- hair space -->''t''&amp;#x200A;<!-- hair space --><sup>''z''&amp;#x200A;<!-- hair space -->−&amp;#x200A;<!-- hair space -->1</sup>''dt''}}</nowiki></code>

[[Gamma function]]

:'''Sandbox:''' {{math|Γ(''z'') {{=}} {{intmath/sandbox|int|0|∞}} ''e''<sup>−''t''</sup>&#x200A;<!-- hair space -->''t''&#x200A;<!-- hair space --><sup>''z''&#x200A;<!-- hair space -->−&#x200A;<!-- hair space -->1</sup>''dt''}}
:'''Current:''' {{math|Γ(''z'') {{=}} {{intmath|int|0|∞}} ''e''<sup>−''t''</sup>&#x200A;<!-- hair space -->''t''&#x200A;<!-- hair space --><sup>''z''&#x2009;<!-- thin space -->−&#x2009;<!-- thin space -->1</sup>''dt''}}

:<code><nowiki>{{math|Γ(''z'') {{=}} {{intmath|int|0|∞}} ''e''<sup>−''t''</sup>&amp;#x200A;<!-- hair space -->''t''&amp;#x200A;<!-- hair space --><sup>''z''&amp;#x200A;<!-- hair space -->−&amp;#x200A;<!-- hair space -->1</sup>''dt''}}</nowiki></code>

[[Line integral]]

:'''Sandbox:''' {{math|{{intmath/sandbox|varointclockwise|''C''}} ''F''('''x''') ∙ ''d'''''x''' {{=}} −{{intmath/sandbox|ointctrclockwise|''C''}} ''F''('''x''') ∙ ''d'''''x'''}}
:'''Current:''' {{math|{{intmath|varointclockwise|''C''}} ''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]]

'''Sandbox:'''

:Gauss's law {{math|{{intmath/sandbox|oiint|∂&Omega;}} '''E''' ∙ ''d'''''S''' {{=}} {{sfrac|1|''ε''<sub>0</sub>}}{{intmath/sandbox|iiint|&Omega;}} ''ρ'' ''dV''}}
:Gauss's law for magnetism {{math|{{intmath/sandbox|oiint|∂&Omega;}} '''B''' ∙ ''d'''''S''' {{=}} 0}}
:Maxwell–Faraday equation {{math|{{intmath/sandbox|oint|∂&Sigma;}} '''E''' ∙ ''d''<nowiki />'''''&#x2113;<!-- ℓ -->''''' {{=}} −{{intmath/sandbox|iint|&Sigma;}} {{sfrac|∂'''B'''|∂''t''}} ∙ ''d'''''S'''}}
:Ampère's circuital law {{math|{{intmath/sandbox|oint|∂&Sigma;}} '''B''' ∙ ''d''<nowiki />'''''&#x2113;<!-- ℓ -->''''' {{=}} {{intmath/sandbox|iint|&Sigma;}} {{big|(}}&#x200A;<!-- 1 hair space -->''μ''<sub>0</sub>'''J''' + {{sfrac|1|''c''<sup>2</sup>}}{{sfrac|∂'''E'''|∂''t''}}{{big|)}} ∙ ''d'''''S'''}}

'''Current:'''
 
:Gauss's law {{math|{{intmath|oiint|∂&Omega;}} '''E''' ∙ ''d'''''S''' {{=}} {{sfrac|1|''ε''<sub>0</sub>}}{{intmath|iiint|&Omega;}} ''ρ'' ''dV''}}
:Gauss's law for magnetism {{math|{{intmath|oiint|∂&Omega;}} '''B''' ∙ ''d'''''S''' {{=}} 0}}
:Maxwell–Faraday equation {{math|{{intmath|oint|∂&Sigma;}} '''E''' ∙ ''d''<nowiki />'''''&#x2113;<!-- ℓ -->''''' {{=}} −{{intmath|iint|&Sigma;}} {{sfrac|∂'''B'''|∂''t''}} ∙ ''d'''''S'''}}
:Ampère's circuital law {{math|{{intmath|oint|∂&Sigma;}} '''B''' ∙ ''d''<nowiki />'''''&#x2113;<!-- ℓ -->''''' {{=}} {{intmath|iint|&Sigma;}} {{big|(}}&#x200A;<!-- 1 hair space -->''μ''<sub>0</sub>'''J''' + {{sfrac|1|''c''<sup>2</sup>}}{{sfrac|∂'''E'''|∂''t''}}{{big|)}} ∙ ''d'''''S'''}}

:<code><nowiki>{{math|{{intmath|oiint|∂&Omega;}} '''E''' ∙ ''d'''''S''' {{=}} {{sfrac|1|''ε''<sub>0</sub>}}{{intmath|iiint|&Omega;}} ''ρ'' ''dV''}}</nowiki></code>
:<code><nowiki>{{math|{{intmath|oiint|∂&Omega;}} '''B''' ∙ ''d'''''S''' {{=}} 0}}</nowiki></code>
:<code><nowiki>{{math|{{intmath|oint|∂&Sigma;}} '''E''' ∙ ''d''<nowiki />'''''&#x2113;<!-- ℓ -->''''' {{=}} −{{intmath|iint|&Sigma;}} {{sfrac|∂'''B'''|∂''t''}} ∙ ''d'''''S'''}}</nowiki></code>
:<code><nowiki>{{math|{{intmath|oint|∂&Sigma;}} '''B''' ∙ ''d''<nowiki />'''''&#x2113;<!-- ℓ -->''''' {{=}} {{intmath|iint|&Sigma;}} {{big|(}}&#x200A;<!-- 1 hair space -->''μ''<sub>0</sub>'''J''' + {{sfrac|1|''c''<sup>2</sup>}}{{sfrac|∂'''E'''|∂''t''}}{{big|)}} ∙ ''d'''''S'''}}</nowiki></code>

== Text style inline formulae ==

=== {{tl|math}} ===

'''Sandbox:''' ''Line spacing is undisturbed.''

[[Lorem ipsum]] dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Gauss's Law: {{math|''ε''<sub>0</sub>{{thin space}}{{intmath/sandbox|oiint|∂Ω}} '''E''' ∙ ''d'''''S'''{{thin space}}{{thin space}}{{=}}{{thin space}}{{intmath/sandbox|iiint|Ω}} ''ρ'' ''dV''.}} Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum. Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. {{math|Γ(''z''){{thin space}}{{thin space}}{{=}}{{thin space}}{{thin space}}{{intmath/sandbox|int|0|∞}} ''e''<sup>−''t''</sup>&#x200A;<!-- hair space -->''t''&#x200A;<!-- hair space --><sup>''z''&#x200A;<!-- hair space -->−&#x200A;<!-- hair space -->1</sup>''dt''.}} Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum. Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.

'''Current:''' ''Messes up the line spacing.''

[[Lorem ipsum]] dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Gauss's Law: {{math|''ε''<sub>0</sub>{{thin space}}{{intmath|oiint|∂Ω}} '''E''' ∙ ''d'''''S'''{{thin space}}{{thin space}}{{=}}{{thin space}}{{intmath|iiint|Ω}} ''ρ'' ''dV''.}} Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum. Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. {{math|Γ(''z''){{thin space}}{{thin space}}{{=}}{{thin space}}{{thin space}}{{intmath|int|0|∞}} ''e''<sup>−''t''</sup>&#x200A;<!-- hair space -->''t''&#x200A;<!-- hair space --><sup>''z''&#x200A;<!-- hair space -->−&#x200A;<!-- hair space -->1</sup>''dt''.}} Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum. Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.

== Display style standalone formulae ==

=== {{tl|bigmath}} ===

Compare vertical alignment and obliqueness of [rotated] int with other [italic] integral symbols:

:{{Bigmath| {{intmath/sandbox|int}}&#x200A;<!-- 1 hair space -->{{intmath/sandbox|oiint}}&#x200A;<!-- 1 hair space -->{{intmath/sandbox|int}} }}

:<code><nowiki>{{Bigmath| {{intmath/sandbox|int}}&amp;#x200A;<!-- 1 hair space -->{{intmath/sandbox|oiint}}&amp;#x200A;<!-- 1 hair space -->{{intmath/sandbox|int}} }}</nowiki></code>

[[Gamma function]]

'''LaTeX:'''

The Gamma function is defined as

:<math>\Gamma(z) = \int_0^\infty e^{-t} t^{z-1} \, dt.</math>

'''Sandbox:''' 

The Gamma function is defined as

:{{Bigmath|Γ(''z'') {{=}} {{intmath/sandbox|int|0|∞}} ''e''<sup>−''t''</sup>&#x200A;<!-- hair space -->''t''&#x200A;<!-- hair space --><sup>''z''&#x200A;<!-- hair space -->−&#x200A;<!-- hair space -->1</sup>''dt''.}}

'''Current:''' 

The Gamma function is defined as

:{{Bigmath|Γ(''z'') {{=}} {{intmath|int|0|∞}} ''e''<sup>−''t''</sup>&#x200A;<!-- hair space -->''t''&#x200A;<!-- hair space --><sup>''z''&#x200A;<!-- hair space -->−&#x200A;<!-- hair space -->1</sup>''dt''.}}

:<code><nowiki>{{Bigmath|Γ(''z'') {{=}} {{intmath|int|0|∞}} ''e''<sup>−''t''</sup>&amp;#x200A;<!-- hair space -->''t''&amp;#x200A;<!-- hair space --><sup>''z''&amp;#x200A;<!-- hair space -->−&amp;#x200A;<!-- hair space -->1</sup>''dt''.}}</nowiki></code>

[[Maxwell's equations]]

'''LaTeX:'''

Gauss's law:

:{{oiint
   | intsubscpt = <math>{\scriptstyle \partial \Omega }</math>
   | integrand = <math>\mathbf{E} \cdot d\mathbf{S} = \frac{1}{\varepsilon_0} \iiint_\Omega \rho \, dV</math>
   }}

Gauss's law for magnetism: 

:{{oiint
   | intsubscpt = <math>{\scriptstyle \partial \Omega }</math>
   | integrand  = <math>\mathbf{B} \cdot d\mathbf{S} = 0</math>
  }}

Maxwell–Faraday equation: 

:<math>\oint_{\partial \Sigma} \mathbf{E} \cdot d\boldsymbol{\ell}  = - \iint_{\Sigma} \frac{\partial \mathbf{B}}{\partial t} \cdot d\mathbf{S} </math>

Ampère's circuital law: 

:<math>\oint_{\partial \Sigma} \mathbf{B} \cdot d\boldsymbol{\ell} = \iint_{\Sigma} \left( \mu_0 \mathbf{J} + \frac{1}{c^2} \frac{\partial \mathbf{E}}{\partial t} \right) \cdot d\mathbf{S} </math>

'''Sandbox:'''

Gauss's law: 

:{{Bigmath|{{intmath/sandbox|oiint|∂&Omega;}} '''E''' ∙ ''d'''''S''' {{=}} {{sfrac|1|''ε''<sub>0</sub>}}{{intmath/sandbox|iiint|&Omega;}} ''ρ'' ''dV''}}

Gauss's law for magnetism: 

:{{Bigmath|{{intmath/sandbox|oiint|∂&Omega;}} '''B''' ∙ ''d'''''S''' {{=}} 0}}

Maxwell–Faraday equation: 

:{{Bigmath|{{intmath/sandbox|oint|∂&Sigma;}} '''E''' ∙ ''d''<nowiki />'''''&#x2113;<!-- ℓ -->''''' {{=}} −{{intmath/sandbox|iint|&Sigma;}} {{sfrac|∂'''B'''|∂''t''}} ∙ ''d'''''S'''}}

Ampère's circuital law: 

:{{Bigmath|{{intmath/sandbox|oint|∂&Sigma;}} '''B''' ∙ ''d''<nowiki />'''''&#x2113;<!-- ℓ -->''''' {{=}} {{intmath/sandbox|iint|&Sigma;}} {{big|(}}&#x200A;<!-- 1 hair space -->''μ''<sub>0</sub>'''J''' + {{sfrac|1|''c''<sup>2</sup>}}{{sfrac|∂'''E'''|∂''t''}}{{big|)}} ∙ ''d'''''S'''}}

'''Current:'''
 
Gauss's law: 

:{{Bigmath|{{intmath|oiint|∂&Omega;}} '''E''' ∙ ''d'''''S''' {{=}} {{sfrac|1|''ε''<sub>0</sub>}}{{intmath|iiint|&Omega;}} ''ρ'' ''dV''}}

Gauss's law for magnetism: 

:{{Bigmath|{{intmath|oiint|∂&Omega;}} '''B''' ∙ ''d'''''S''' {{=}} 0}}

Maxwell–Faraday equation: 

:{{Bigmath|{{intmath|oint|∂&Sigma;}} '''E''' ∙ ''d''<nowiki />'''''&#x2113;<!-- ℓ -->''''' {{=}} −{{intmath|iint|&Sigma;}} {{sfrac|∂'''B'''|∂''t''}} ∙ ''d'''''S'''}}

Ampère's circuital law: 

:{{Bigmath|{{intmath|oint|∂&Sigma;}} '''B''' ∙ ''d''<nowiki />'''''&#x2113;<!-- ℓ -->''''' {{=}} {{intmath|iint|&Sigma;}} {{big|(}}&#x200A;<!-- 1 hair space -->''μ''<sub>0</sub>'''J''' + {{sfrac|1|''c''<sup>2</sup>}}{{sfrac|∂'''E'''|∂''t''}}{{big|)}} ∙ ''d'''''S'''}}

:<code><nowiki>
Gauss's law: 

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

:<code><nowiki>
Gauss's law for magnetism: 

:{{Bigmath|{{intmath|oiint|∂&Omega;}} '''B''' ∙ ''d'''''S''' {{=}} 0}}
</nowiki></code>

:<code><nowiki>
Maxwell–Faraday equation: 

:{{Bigmath|{{intmath|oint|∂&Sigma;}} '''E''' ∙ ''d''<nowiki />'''''&#x2113;<!-- ℓ -->''''' {{=}} −{{intmath|iint|&Sigma;}} {{sfrac|∂'''B'''|∂''t''}} ∙ ''d'''''S'''}}
</nowiki></code>

:<code><nowiki>
Ampère's circuital law: 

:{{Bigmath|{{intmath|oint|∂&Sigma;}} '''B''' ∙ ''d''<nowiki />'''''&#x2113;<!-- ℓ -->''''' {{=}} {{intmath|iint|&Sigma;}} {{big|(}}&#x200A;<!-- 1 hair space -->''μ''<sub>0</sub>'''J''' + {{sfrac|1|''c''<sup>2</sup>}}{{sfrac|∂'''E'''|∂''t''}}{{big|)}} ∙ ''d'''''S'''}}
</nowiki></code>

== \iiiint and \idotsint ==

'''LaTeX:''' 

<code><nowiki><math>H {{=}} \iiiint_{\rm 4\mbox{-}ball} dH</math></nowiki></code> yields 

:<math>H {{=}} \iiiint_{\rm 4\mbox{-}ball} dH</math> 

<code><nowiki><math>H {{=}} \idotsint_{n{\rm \mbox{-}ball}} dH</math></nowiki></code> yields 

:<math>H {{=}} \idotsint_{n{\rm \mbox{-}ball}} dH</math>

<code><nowiki><math>H {{=}} \int \cdots \int_{n{\rm \mbox{-}ball}} dH</math></nowiki></code> yields 

:<math>H {{=}} \int \cdots \int_{n{\rm \mbox{-}ball}} dH</math>

<code><nowiki><math>H {{=}} \int \!\cdots\! \int_{n{\rm \mbox{-}ball}} dH</math></nowiki></code> yields (the better spaced) 

:<math>H {{=}} \int \!\cdots\! \int_{n{\rm \mbox{-}ball}} dH</math>

'''Sandbox:'''

<code><nowiki>{{math| H {{=}} {{intmath/sandbox|iiiint|4-ball}} ''dH'' }}</nowiki></code> yields the HTML text style {{math| H {{=}} {{intmath/sandbox|iiiint|4-ball}} ''dH'' }}  

<code><nowiki>{{math| H {{=}} {{intmath/sandbox|idotsint|''n''-ball}} ''dH'' }}</nowiki></code> yields the HTML text style {{math| H {{=}} {{intmath/sandbox|idotsint|''n''-ball}} ''dH'' }}

<code><nowiki>{{bigmath| H {{=}} {{intmath/sandbox|iiiint|4-ball}} ''dH'' }}</nowiki></code> yields the HTML display style 

:{{bigmath| H {{=}} {{intmath/sandbox|iiiint|4-ball}} ''dH'' }}  

<code><nowiki>{{bigmath| H {{=}} {{intmath/sandbox|idotsint|''n''-ball}} ''dH'' }}</nowiki></code> yields the HTML display style  

:{{bigmath| H {{=}} {{intmath/sandbox|idotsint|''n''-ball}} ''dH'' }}

== Quotient of integrals ==

'''LaTeX:'''

<code><nowiki><math>\frac{ \int_0^\infty x^{2n} e^{-a x^2}\,dx }{ \int_0^\infty x^{2(n-1)} e^{-a x^2}\,dx } = \frac{2n-1}{2a}</math></nowiki></code> yields
 
:<math>\frac{ \int_0^\infty x^{2n} e^{-a x^2}\,dx }{ \int_0^\infty x^{2(n-1)} e^{-a x^2}\,dx } = \frac{2n-1}{2a}</math>

'''Sandbox (without the <code>tiny</code> [fourth parameter] option):'''

<pre style="overflow: auto;">
:{{bigmath|<!-- 
-->{{sfrac
   | {{intmath/sandbox|int|0|∞}} ''x''<sup>2''n''</sup> ''e''<sup>&minus;''ax''<sup>2</sup></sup> ''dx''<!-- 
-->| {{intmath/sandbox|int|0|∞}} ''x''<sup>2(''n''&minus;1)</sup>  ''e''<sup>&minus;''ax''<sup>2</sup></sup> ''dx''<!-- 
-->}} {{=}} {{sfrac|2''n'' &minus; 1|2''a''}} }}
</pre> 

yields ({{tl|bigmath}} should have <code>vertical-align: middle;</code>) 

:{{bigmath|<!-- 
-->{{sfrac
   | {{intmath/sandbox|int|0|∞}} ''x''<sup>2''n''</sup> ''e''<sup>&minus;''ax''<sup>2</sup></sup> ''dx''<!-- 
-->| {{intmath/sandbox|int|0|∞}} ''x''<sup>2(''n''&minus;1)</sup>  ''e''<sup>&minus;''ax''<sup>2</sup></sup> ''dx''<!-- 
-->}} {{=}} {{sfrac|2''n'' &minus; 1|2''a''}} }}

'''Sandbox (with the <code>tiny</code> [fourth parameter] option):'''

<pre style="overflow: auto;">
:{{bigmath|<!-- 
-->{{sfrac
   | {{intmath/sandbox|int|0|∞|tiny}} ''x''<sup>2''n''</sup> ''e''<sup>&minus;''ax''<sup>2</sup></sup> ''dx''<!-- 
-->| {{intmath/sandbox|int|0|∞|tiny}} ''x''<sup>2(''n''&minus;1)</sup>  ''e''<sup>&minus;''ax''<sup>2</sup></sup> ''dx''<!-- 
-->}} {{=}} {{sfrac|2''n'' &minus; 1|2''a''}} }}
</pre> 

yields ({{tl|bigmath}} should have <code>vertical-align: middle;</code>) 

:{{bigmath|<!-- 
-->{{sfrac
   | {{intmath/sandbox|int|0|∞|tiny}} ''x''<sup>2''n''</sup> ''e''<sup>&minus;''ax''<sup>2</sup></sup> ''dx''<!-- 
-->| {{intmath/sandbox|int|0|∞|tiny}} ''x''<sup>2(''n''&minus;1)</sup>  ''e''<sup>&minus;''ax''<sup>2</sup></sup> ''dx''<!-- 
-->}} {{=}} {{sfrac|2''n'' &minus; 1|2''a''}} }}

'''Current:'''

<pre style="overflow: auto;">
:{{bigmath|<!-- 
-->{{sfrac
   | {{intmath|int|0|∞}} ''x''<sup>2''n''</sup> ''e''<sup>&minus;''ax''<sup>2</sup></sup> ''dx''<!-- 
-->| {{intmath|int|0|∞}} ''x''<sup>2(''n''&minus;1)</sup>  ''e''<sup>&minus;''ax''<sup>2</sup></sup> ''dx''<!-- 
-->}} {{=}} {{sfrac|2''n'' &minus; 1|2''a''}} }}
</pre> 

yields

:{{bigmath|<!-- 
-->{{sfrac
   | {{intmath|int|0|∞}} ''x''<sup>2''n''</sup> ''e''<sup>&minus;''ax''<sup>2</sup></sup> ''dx''<!-- 
-->| {{intmath|int|0|∞}} ''x''<sup>2(''n''&minus;1)</sup>  ''e''<sup>&minus;''ax''<sup>2</sup></sup> ''dx''<!-- 
-->}} {{=}} {{sfrac|2''n'' &minus; 1|2''a''}} }}

'''Sandbox (without the <code>tiny</code> [fourth parameter] option):'''

<pre style="overflow: auto;">
:{{bigmath|<!-- 
-->{{sfrac
   | {{intmath/sandbox|oiint|∂&Omega;}} '''E''' ∙ ''d'''''S'''<!-- 
-->| {{intmath/sandbox|iiint|&Omega;}} ''ρ'' ''dV''<!-- 
-->}} {{=}} {{sfrac|1|''ε''<sub>0</sub>}} }}
</pre> 

yields ({{tl|bigmath}} should have <code>vertical-align: middle;</code>)

:{{bigmath|<!-- 
-->{{sfrac
   | {{intmath/sandbox|oiint|∂&Omega;}} '''E''' ∙ ''d'''''S'''<!-- 
-->| {{intmath/sandbox|iiint|&Omega;}} ''ρ'' ''dV''<!-- 
-->}} {{=}} {{sfrac|1|''ε''<sub>0</sub>}} }}

'''Sandbox (with the <code>tiny</code> [fourth parameter] option):'''

<pre style="overflow: auto;">
:{{bigmath|<!-- 
-->{{sfrac
   | {{intmath/sandbox|oiint|∂&Omega;||tiny}} '''E''' ∙ ''d'''''S'''<!-- 
-->| {{intmath/sandbox|iiint|&Omega;||tiny}} ''ρ'' ''dV''<!-- 
-->}} {{=}} {{sfrac|1|''ε''<sub>0</sub>}} }}
</pre> 

yields ({{tl|bigmath}} should have <code>vertical-align: middle;</code>)

:{{bigmath|<!-- 
-->{{sfrac
   | {{intmath/sandbox|oiint|∂&Omega;||tiny}} '''E''' ∙ ''d'''''S'''<!-- 
-->| {{intmath/sandbox|iiint|&Omega;||tiny}} ''ρ'' ''dV''<!-- 
-->}} {{=}} {{sfrac|1|''ε''<sub>0</sub>}} }}