Template:Iint

The following documentation is located at Template:Iint/doc. [<Edit> Template:Iint/doc]
[⧼Purge⧽ Template:Iint]

The {{iint}} mathematical formatting template calls the {{integral}} template with the type argument set to iint or [the nicer looking] 2int (double integral).

Usage

{{iint|lower limit|upper limit|integrand}}

or

{{iint|lower limit|upper limit|integrand|format}}

or

{{iint|lower limit|upper limit}} integrand

or

{{iint|lower limit|upper limit|format}} integrand

where format is among:

• htm: text style HTML+CSS (default);
• tex: text style LaTeX;
• HTM: display style HTML+CSS;
• TEX: display style LaTeX.

Examples

The code

: {{repeat|2|{{repeat|10|yadda{{nbsp}}}}{{nl}}}}before {{math|{{iint|''D''}} ''f''{{sp|2}}(''x'', ''y'') {{d|''x''}}{{sp|3}}{{d|''y''}}{{sp|1}} {{=}} <!--
-->{{iint|''T''}} ''f''{{sp|2}}({{sp|2}}''{{Gr|rho}}'' cos ''{{Gr|varphi}}'', ''{{Gr|rho}}'' sin ''{{Gr|varphi}}'') ''{{Gr|rho}}''{{sp|3}}{{d|''{{Gr|rho}}''}}{{sp|3}}{{d|''{{Gr|varphi}}''}}. 
|tex = \iint_{D} f(x,y) \, dx \, dy = \iint_{T} f( \rho \cos \varphi,\rho \sin \varphi ) \, \rho \, d\rho \, d\varphi .
|&}} after{{repeat|2|{{nl}}{{repeat|10|yadda{{nbsp}}}}}}

yields the text style HTML+CSS

yadda yadda yadda yadda yadda yadda yadda yadda yadda yadda 
yadda yadda yadda yadda yadda yadda yadda yadda yadda yadda 
before

∫ ∫ D D   f  (x, y) d x d y  = ∫ ∫ T T   f  (  ρ cos φ, ρ sin φ) ρ d ρ d φ.

after
yadda yadda yadda yadda yadda yadda yadda yadda yadda yadda 
yadda yadda yadda yadda yadda yadda yadda yadda yadda yadda 

and with the $ option, yields the text style LaTeX

yadda yadda yadda yadda yadda yadda yadda yadda yadda yadda 
yadda yadda yadda yadda yadda yadda yadda yadda yadda yadda 
before $\textstyle {\iint _{D}f(x,y)\,dx\,dy=\iint _{T}f(\rho \cos \varphi ,\rho \sin \varphi )\,\rho \,d\rho \,d\varphi .}$ after
yadda yadda yadda yadda yadda yadda yadda yadda yadda yadda 
yadda yadda yadda yadda yadda yadda yadda yadda yadda yadda 

The code

: {{math|{{iint|''D''||HTM}} ''f''{{sp|2}}(''x'', ''y'') {{d|''x''}}{{sp|3}}{{d|''y''}}{{sp|1}} {{=}} <!--
-->{{iint|''T''||HTM}} ''f''{{sp|2}}({{sp|2}}''{{Gr|rho}}'' cos ''{{Gr|varphi}}'', ''{{Gr|rho}}'' sin ''{{Gr|varphi}}'') ''{{Gr|rho}}''{{sp|3}}{{d|''{{Gr|rho}}''}}{{sp|3}}{{d|''{{Gr|varphi}}''}}. 
|tex = \iint_{D} f(x,y) \, dx \, dy = \iint_{T} f( \rho \cos \varphi,\rho \sin \varphi ) \, \rho \, d\rho \, d\varphi .
|&&}}

yields the display style HTML+CSS

∫ ∫ D D f  (x, y) d x d y  = ∫ ∫ T T f  (  ρ cos φ, ρ sin φ) ρ d ρ d φ.

and with the $$ option, yields the display style LaTeX

${\begin{array}{l}\displaystyle {\iint _{D}f(x,y)\,dx\,dy=\iint _{T}f(\rho \cos \varphi ,\rho \sin \varphi )\,\rho \,d\rho \,d\varphi .}\end{array}}$

Code

{{integral|2int<!--iint-->|{{{1|}}}|{{{2|}}}|{{{3|}}}|{{{4|}}}}}

See also

• {{integral}} (type argument: int, iint, iiint, iiiint, idotsint, oint, varointclockwise, ointctrclockwise, oiint, oiiint)

• {{int}} (simple integral: {{integral}} with int as type argument)
• {{iint}} (double integral: {{integral}} with iint as type argument)
• {{iiint}} (triple integral: {{integral}} with iiint as type argument)
• {{iiiint}} (quadruple integral: {{integral}} with iiiint as type argument)
• {{idotsint}} (multiple integral: {{integral}} with idotsint as type argument)

• {{oint}} ([closed] path integral: {{integral}} with oint as type argument)
• {{varointclockwise}} ([closed] clockwise path integral: {{integral}} with varointclockwise as type argument)
• {{ointctrclockwise}} ([closed] counterclockwise path integral: {{integral}} with ointctrclockwise as type argument)
• {{oiint}} ([closed] surface integral: {{integral}} with oiint as type argument)
• {{oiiint}} ([closed] hypersurface integral: {{integral}} with oiiint as type argument)

• {{sum}} (summation)
• {{prod}} (product)

External links

• Template:Intorient—Wikipedia.org.

• {{sum}} (summation)
• {{prod}} (product)