Template:Integral/nicer/int/doc

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This template is under construction.            

Please do not use this unfinished and/or still unreliable template.            

The following code (which produces nicer integral symbols) requires

font-family: 'Lucida Sans Unicode';

which we cannot rely on being installed on the user's computer/tablet/smartphone...

(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.)

Helper template used by the {{integral/nicer}} template to implement the int (simple integral) option, which is also used to implement the iiiint (quadruple integral), and idotsint (multiple integral) options (since font-family: 'Lucida Sans Unicode'; does not support neither the quadruple integral symbol, nor the multiple integral symbol).

Usage

{{integral/nicer/int|from|to|integrand}}

or

{{integral/nicer/int|from|to|integrand|format}}

or

{{integral/nicer/int|from|to}} integrand

or

{{integral/nicer/int|from|to|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|{{integral/nicer/int|0|1|''x''{{^|3}}{{sp|3}}{{d|''x''}}}}|&}} and {{math|{{integral/nicer/int|0|1}} ''x''{{^|3}}{{sp|3}}{{d|''x''}}|&}} 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 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$\textstyle {\int _{0}^{1}x^{3}dx}$ after
yadda yadda yadda yadda yadda 
yadda yadda yadda yadda yadda 

The code

: {{math|{{integral/nicer/int|0|1|''x''{{^|3}}{{sp|3}}{{d|''x''}}|HTM}}|&&}} and {{math|{{integral/nicer/int|0|1|HTM}} ''x''{{^|3}}{{sp|3}}{{d|''x''}}|&&}}

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 dx|$$}}

yields the display style LaTeX

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

The code

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

yields the display style HTML+CSS

Γ(z) = ∫ ∞ 0  e  −  t  t  z  − 1 d t

The code

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

yields the display style style LaTeX

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

\iint and \iiint and \iiiint

The code

: {{repeat|2|{{repeat|10|yadda{{nbsp}}}}{{nl}}}}<!--
-->before {{math|''F'' {{=}} {{integral/nicer|iint|2-ball| |''dF''}},{{sp|quad}}''G'' {{=}} {{integral/nicer|iiint|3-ball| |''dG''}},{{sp|quad}}''H'' {{=}} {{integral/nicer|iiiint|4-ball| |''dH''}}|&}} 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 

F = ∬ 2-ball 2-ball  dF, G = ∭ 3-ball 3-ball  dG, H = ∫ ∫ ∫ ∫ 4-ball 4-ball  dH

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

The code

: {{repeat|2|{{repeat|10|yadda{{nbsp}}}}{{nl}}}}<!--
-->before {{math|''F'' {{=}} {{integral/nicer|iint|2\text{-ball}| |''dF''|tex}},\quad ''G'' {{=}} {{integral/nicer|iiint|3\text{-ball}| |''dG''|tex}},\quad ''H'' {{=}} {{integral/nicer|iiiint|4\text{-ball}| |''dH''|tex}}|$}} after<!--
-->{{repeat|2|{{nl}}{{repeat|10|yadda{{nbsp}}}}}}

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$\textstyle {F=\iint _{2{\text{-ball}}}^{}\;{dF},\quad G=\iiint _{3{\text{-ball}}}^{}\;{dG},\quad H=\iiiint _{4{\text{-ball}}}^{}\;{dH}}$ after
yadda yadda yadda yadda yadda yadda yadda yadda yadda yadda 
yadda yadda yadda yadda yadda yadda yadda yadda yadda yadda 

The code

: {{math|''F'' {{=}} {{integral/nicer|iint|2-ball||HTM}} {{d|''F''}},{{sp|quad}}''G'' {{=}} {{integral/nicer|iiint|3-ball||HTM}} {{d|''G''}},{{sp|quad}}''H'' {{=}} {{integral/nicer|iiiint|4-ball||HTM}} {{d|''H''}}|&&}}

yields the display style HTML+CSS

F = ∬ 2-ball 2-ball d F, G = ∭ 3-ball 3-ball d G, H = ∫ ∫ ∫ ∫ 4-ball 4-ball d H

The code

: {{math|''F'' {{=}} {{integral/nicer|iint|2\text{-ball}||TEX}} {{d|''F''|tex}},\quad ''G'' {{=}} {{integral/nicer|iiint|3\text{-ball}||TEX}} {{d|''G''|tex}},\quad ''H'' {{=}} {{integral/nicer|iiiint|4\text{-ball}||TEX}} {{d|''H''|tex}}|$$}}

yields the display style LaTeX

${\begin{array}{l}\displaystyle {F=\iint _{2{\text{-ball}}}^{}\;d^{}F,\quad G=\iiint _{3{\text{-ball}}}^{}\;d^{}G,\quad H=\iiiint _{4{\text{-ball}}}^{}\;d^{}H}\end{array}}$

\idotsint

The code

: {{repeat|2|{{repeat|5|yadda{{nbsp}}}}{{nl}}}}before {{math|''H'' {{=}} {{integral/nicer|idotsint|''n''-ball}} {{d|''H''}}|&}} 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 

H = ∫ ⋯ ∫ n-ball n-ball   d H

after
yadda yadda yadda yadda yadda 
yadda yadda yadda yadda yadda 

The code

: {{repeat|2|{{repeat|5|yadda{{nbsp}}}}{{nl}}}}before {{math|''H'' {{=}} {{integral/nicer|idotsint|''n''\text{-ball}||tex}} {{d|''H''|tex}}|$}} after{{repeat|2|{{nl}}{{repeat|5|yadda{{nbsp}}}}}}

yields the text style LaTeX

yadda yadda yadda yadda yadda 
yadda yadda yadda yadda yadda 
before$\textstyle {H=\int \!\cdots \!\int _{n{\text{-ball}}}^{}\;d^{}H}$ after
yadda yadda yadda yadda yadda 
yadda yadda yadda yadda yadda 

The code

: {{math|''H'' {{=}} {{integral/nicer|idotsint|''n''-ball||HTM}} {{d|''H''}}|&&}}

yields the display style HTML+CSS

H = ∫ ⋯ ∫ n-ball n-ball d H

The code

: {{math|''H'' {{=}} {{integral/nicer|idotsint|''n''\text{-ball}||TEX}} {{d|''H''|tex}}|$$}}

yields the display style LaTeX

${\begin{array}{l}\displaystyle {H=\int \!\cdots \!\int _{n{\text{-ball}}}^{}\;d^{}H}\end{array}}$

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