Template:Iiiint/doc

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The {{iiiint}} mathematical formatting template calls the {{integral}} template with the type argument set to iiiint or [the nicer looking] 4int (quadruple integral).

Usage

{{iiiint|lower limit|upper limit|integrand}}

or

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

or

{{iiiint|lower limit|upper limit}} integrand

or

{{iiiint|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|7|yadda{{nbsp}}}}{{nl}}}}before {{math|{{iiiint|''H''}} ''f''{{sp|2}}(''x'', ''y'', ''z'', ''t'') {{d|''x''}}{{sp|3}}{{d|''y''}}{{sp|3}}{{d|''z''}}{{sp|3}}{{d|''t''}}. 
|tex = \iiiint_{H} f(x, y, z, t) \, dx \, dy \, dz \, dt.
|&}} after{{repeat|2|{{nl}}{{repeat|7|yadda{{nbsp}}}}}}

yields the text style HTML+CSS

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

∫ ∫ ∫ ∫ H H   f  (x, y, z, t) d x d y d z d t.

after
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 
before $\textstyle {\iiiint _{H}f(x,y,z,t)\,dx\,dy\,dz\,dt.}$ after
yadda yadda yadda yadda yadda yadda yadda 
yadda yadda yadda yadda yadda yadda yadda 

The code

: {{math|{{iiiint|''H''||HTM}} ''f''{{sp|2}}(''x'', ''y'', ''z'', ''t'') {{d|''x''}}{{sp|3}}{{d|''y''}}{{sp|3}}{{d|''z''}}{{sp|3}}{{d|''t''}}. 
|tex = \iiiint_{H} f(x, y, z, t) \, dx \, dy \, dz \, dt.
|&&}}

yields the display style HTML+CSS

∫ ∫ ∫ ∫ H H f  (x, y, z, t) d x d y d z d t.

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

${\begin{array}{l}\displaystyle {\iiiint _{H}f(x,y,z,t)\,dx\,dy\,dz\,dt.}\end{array}}$

Code

{{integral|4int<!--iiiint-->|{{{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)