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LaTeXsymbol for Cauchy principal value
The usual symbol (dashed integral) used to denote Cauchy’s principal value of an integral can be created in
LaTeX through macros.^{1}^{1}UK List of TeX is a reference. These one are given by the following instructions, which must be included on the preamble.
\def\Xint#1{\mathchoice {\XXint\displaystyle\textstyle{#1}}% {\XXint\textstyle\scriptstyle{#1}}% {\XXint\scriptstyle\scriptscriptstyle{#1}}% {\XXint\scriptscriptstyle\scriptscriptstyle{#1}}% \!\int} \def\XXint#1#2#3{{\setbox0=\hbox{$#1{#2#3}{\int}$} \vcenter{\hbox{$#2#3$}}\kern.5\wd0}} \def\ddashint{\Xint=} \def\dashint{\Xint}
The commands to execute those macros are $``\backslash dashint"$ and $``\backslash ddashint"$ for single dash and double dash, respectively. Let us expose a few examples.

${\vbox{\hbox{$\textstyle=$}}\kern 0.0pt}\!\int_{\Omega}F(\zeta,\eta)d\zeta d\eta$ 
${\vbox{\hbox{$\textstyle$}}\kern 0.0pt}\!\int_{{z_{0}}}^{z}f(\zeta)d\zeta$ 
$Ei(z)={\vbox{\hbox{$\textstyle$}}\kern 0.0pt}\!\int_{{z}}^{\infty}\frac{e^{% {\zeta}}}{\zeta}d\zeta={\vbox{\hbox{$\textstyle$}}\kern 0.0pt}\!\int_{{% \infty}}^{z}\frac{e^{\zeta}}{\zeta}d\zeta,\quad\Re{z}>0,\quad\text{(% exponential integral)}$ 
$li(z)={\vbox{\hbox{$\textstyle$}}\kern 0.0pt}\!\int_{0}^{z}\frac{d\zeta}{\log% \zeta}\equiv Ei(\log z),\;\Re{z}>1,\quad\text{(logarithmic integral)}$ 
$\Gamma(z)\Gamma(1z)=z\Gamma(z)\Gamma(z)={\vbox{\hbox{$\textstyle$}}\kern 0% .0pt}\!\int_{0}^{\infty}\frac{\zeta^{{z1}}}{\zeta+1}d\zeta=\pi\csc\pi z,\quad 0% <\Re{z}<1,\quad\text{(Gamma function reflection's formula)}$
Related:
LogarithmicIntegral2
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new correction: examples and OEIS sequences by fizzie
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new correction: Define Galois correspondence by porton
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new correction: Closure properties on languages: DCFL not closed under reversal by babou
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new correction: Many corrections by Smarandache
Sep 28
new question: how to contest an entry? by zorba
new question: simple question by parag
new question: Prime numbers out of sequence by Rubens373
Oct 7
new question: Lorenz system by David Bankom
Oct 19
new correction: examples and OEIS sequences by fizzie
Oct 13
new correction: Define Galois correspondence by porton
Oct 7
new correction: Closure properties on languages: DCFL not closed under reversal by babou
new correction: DCFLs are not closed under reversal by petey
Oct 2
new correction: Many corrections by Smarandache
Sep 28
new question: how to contest an entry? by zorba
new question: simple question by parag