Template:Int

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

(Firefox and Google Chrome and MS Edge: good results! Y)
(Not the fault of the {{math}} template: MS Edge chops LaTeX PNG's, whether or not we use the {{math}} template! (See #Tests.)

The {{int}} mathematical formatting template calls the {{integral}} template with the type argument set to int (simple integral).

Usage

{{int|lower limit|upper limit|integrand}}

or

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

or

{{int|lower limit|upper limit}} integrand

or

{{int|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|5|yadda{{nbsp}}}}{{nl}}}}before {{math|{{int|0|1|''x''{{^|3}}{{sp|3}}{{d|''x''}}}}|tex = \int_{0}^{1} x^3 dx|&}} and <!--
-->{{math|{{int|0|1}} ''x''{{^|3}}{{sp|3}}{{d|''x''}}|tex = \int_{0}^{1} x^3 dx|&}} after{{repeat|2|{{nl}}{{repeat|5|yadda{{nbsp}}}}}}

yields the text style HTML+CSS

yadda yadda yadda yadda yadda 
yadda yadda yadda yadda yadda 
before

∫ 1 0  x 3 d x

and

∫ 1 0   x 3 d x

after
yadda yadda yadda yadda yadda 
yadda yadda yadda yadda yadda 

The code

: {{repeat|2|{{repeat|5|yadda{{nbsp}}}}{{nl}}}}before {{math|{{int|0|1|''x''{{^|3}}{{sp|3}}{{d|''x''}}}}|tex = \int_{0}^{1} x^3 dx|$}} and <!--
-->{{math|{{int|0|1}} ''x''{{^|3}}{{sp|3}}{{d|''x''}}|tex = \int_{0}^{1} x^3 dx|$}} after{{repeat|2|{{nl}}{{repeat|5|yadda{{nbsp}}}}}}

yields the text style LaTeX

yadda yadda yadda yadda yadda 
yadda yadda yadda yadda yadda 
before $\textstyle {\int _{0}^{1}x^{3}dx}$ and $\textstyle {\int _{0}^{1}x^{3}dx}$ after
yadda yadda yadda yadda yadda 
yadda yadda yadda yadda yadda 

The code

: {{math|{{int|0|1|''x''{{^|3}}{{sp|3}}{{d|''x''}}|HTM}}|tex = \int_{0}^{1} x^3 dx|&&}} and {{math|{{int|0|1|HTM}} ''x''{{^|3}}{{sp|3}}{{d|''x''}}|tex = \int_{0}^{1} x^3 dx|&&}}

yields the display style HTML+CSS

∫ 1 0  x 3 d x

and

∫ 1 0 x 3 d x

The code

: {{math|{{int|0|1|''x''{{^|3}}{{sp|3}}{{d|''x''}}|HTM}}|tex = \int_{0}^{1} x^3 dx|$$}} and {{math|{{int|0|1|HTM}} ''x''{{^|3}}{{sp|3}}{{d|''x''}}|tex = \int_{0}^{1} x^3 dx|$$}}

yields the display style LaTeX

${\begin{array}{l}\displaystyle {\int _{0}^{1}x^{3}dx}\end{array}}$ and ${\begin{array}{l}\displaystyle {\int _{0}^{1}x^{3}dx}\end{array}}$

The code

: {{repeat|2|{{repeat|5|yadda{{nbsp}}}}{{nl}}}}before {{math|{{Gr|Gamma}}(''z'') {{=}} <!--
-->{{int|0|infty|''e''{{^|{{op|-}}{{sp|1}}''t''}}{{sp|2}}''t''{{sp|2}}{{^|''z''{{sp|1}}{{op|-}}1}}{{sp|3}}{{d|''t''}}}}|tex = \Gamma(z) {{=}} \int_{0}^{\infty} e^{-t} t^{z-1} dt|&}} <!--
-->after{{repeat|2|{{nl}}{{repeat|5|yadda{{nbsp}}}}}}

yields the text style HTML+CSS

yadda yadda yadda yadda yadda 
yadda yadda yadda yadda yadda 
before

Γ(z) = ∫ ∞ 0  e  −  t  t   z  − 1 d t

after
yadda yadda yadda yadda yadda 
yadda yadda yadda yadda yadda 

The code

: {{repeat|2|{{repeat|5|yadda{{nbsp}}}}{{nl}}}}before {{math|{{Gr|Gamma}}(''z'') {{=}} <!--
-->{{int|0|infty|''e''{{^|{{op|-}}{{sp|1}}''t''}}{{sp|2}}''t''{{sp|2}}{{^|''z''{{sp|1}}{{op|-}}1}}{{sp|3}}{{d|''t''}}}}|tex = \Gamma(z) {{=}} \int_{0}^{\infty} e^{-t} t^{z-1} dt|$}} <!--
-->after{{repeat|2|{{nl}}{{repeat|5|yadda{{nbsp}}}}}}

yields the text style LaTeX

yadda yadda yadda yadda yadda 
yadda yadda yadda yadda yadda 
before $\textstyle {\Gamma (z)=\int _{0}^{\infty }e^{-t}t^{z-1}dt}$ after
yadda yadda yadda yadda yadda 
yadda yadda yadda yadda yadda 

The code

: {{math|{{Gr|Gamma}}(''z'') {{=|sp}} <!--
-->{{int|0|infty|''e''{{^|{{op|-}}{{sp|1}}''t''}}{{sp|2}}''t''{{sp|1}}{{^|''z''{{sp|1}}{{op|-}}1}}{{sp|3}}{{d|''t''}}|HTM}}|tex = \Gamma(z) {{=}} \int_{0}^{\infty} e^{-t} t^{z-1} dt|&&}}

yields the display style HTML+CSS

Γ(z)  =  ∫ ∞ 0  e  −  t  t  z  − 1 d t

The code

: {{math|{{Gr|Gamma}}(''z'') {{=|sp}} <!--
-->{{int|0|infty|''e''{{^|{{op|-}}{{sp|1}}''t''}}{{sp|2}}''t''{{sp|1}}{{^|''z''{{sp|1}}{{op|-}}1}}{{sp|3}}{{d|''t''}}|HTM}}|tex = \Gamma(z) {{=}} \int_{0}^{\infty} e^{-t} t^{z-1} dt|$$}}

yields the display style style LaTeX

${\begin{array}{l}\displaystyle {\Gamma (z)=\int _{0}^{\infty }e^{-t}t^{z-1}dt}\end{array}}$

The code

: A053003: [[Simple continued fraction]] for [[Gauß's constant|Gauß{{'}}s constant]] <!--
-->{{math
|{{tfrac|2|{{Gr|pi}}}} {{int|0|1|{{tfrac|1|{{sqrt|1 {{op|-}} ''x''{{^|4}}}}}}{{sp|3}}{{d|''x''}}}}{{sp|1}}.
|tex = \frac{ 2 }{ \pi } \int_{0}^{1} \frac{ 1 }{ \sqrt{1 - x^4} } \, dx .
|&}}

yields the text style HTML+CSS

A053003: Simple continued fraction for Gauß’s constant

2 π ∫ 1 0   1 2√  1  −  x 4  d x .

and with the $ option, yields the text style LaTeX

A053003: Simple continued fraction for Gauß’s constant $\textstyle {{\frac {2}{\pi }}\int _{0}^{1}{\frac {1}{\sqrt {1-x^{4}}}}\,dx.}$

The code

: {{math
|{{frac|2|{{Gr|pi}}}} {{int|0|1|{{frac|1|{{sqrt|1 {{op|-}} ''x''{{^|4}}}}}}{{sp|3}}{{d|''x''}}|HTM}}{{sp|1}}.
|tex = \frac{ 2 }{ \pi } \int_{0}^{1} \frac{ 1 }{ \sqrt{1 - x^4} } \, dx .
|&&}}

yields the display style HTML+CSS

2 π ∫ 1 0   1 2√  1 − x 4  d x .

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

${\begin{array}{l}\displaystyle {{\frac {2}{\pi }}\int _{0}^{1}{\frac {1}{\sqrt {1-x^{4}}}}\,dx.}\end{array}}$

Tests

The code

: <math>\int_{0}^{1} x^3 dx</math> and {{math|\int_{0}^{1} x^3 dx|$$}}

yields the display style LaTeX (Not the fault of the {{math}} template: MS Edge chops LaTeX PNG's, whether or not we use the {{math}} template!)

$\int _{0}^{1}x^{3}dx$ and${\begin{array}{l}\displaystyle {\int _{0}^{1}x^{3}dx}\end{array}}$

The code

: <math>\Gamma(z) = \int_{0}^{\infty} e^{-t} t^{z-1} dt</math> and {{math|\Gamma(z) {{=}} \int_{0}^{\infty} e^{-t} t^{z-1} dt|$$}}

yields the display style LaTeX (Not the fault of the {{math}} template: MS Edge chops LaTeX PNG's, whether or not we use the {{math}} template!)

$\Gamma (z)=\int _{0}^{\infty }e^{-t}t^{z-1}dt$ and${\begin{array}{l}\displaystyle {\Gamma (z)=\int _{0}^{\infty }e^{-t}t^{z-1}dt}\end{array}}$

Code

{{integral|int|{{{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.