[Tex/LaTex] Integral symbol with high and low dashes

Question

How do I make the following integral symbols in Latex?

I know how to make an integral and the limit. I don't know how to make it with the lines through it.

Answer 1

Using the code from the entry The Principal Value Integral symbol (which defines the macro \dashint) in the UK List of TeX FAQs as a starting point, it is reasonably straightforward to define two new macros, \lowdashint and \highdashint, that place a "dash" symbol -- actually, a "minus" symbol -- a bit lower and a bit higher, respectively, than \dashint does.

In the code below, the macros \lowdashint and \highdashint are set up only for display-style and text-style math modes. (I can't imagine they'll occur in expressions in first-level, let alone second-level, subscripts and superscripts. However, please tell me if this assumption is invalid.)

You should, of course, feel free to change the vertical positions of the dashes -- cf the arguments of the \lower and \raise commands -- to suit your stylistic preferences.

\documentclass{article}
\usepackage{booktabs,amsmath}
\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\dashint{\Xint-}

\def\Yint#1{\mathchoice
    {\YYint\displaystyle\textstyle{#1}}%
    {\YYYint\textstyle\scriptscriptstyle{#1}}%
    {}{}%
    \!\int}
\def\YYint#1#2#3{{\setbox0=\hbox{$#1{#2#3}{\int}$}
    \lower1ex\hbox{$#2#3$}\kern-.46\wd0}}
\def\YYYint#1#2#3{{\setbox0=\hbox{$#1{#2#3}{\int}$}
    \lower0.35ex\hbox{$#2#3$}\kern-.48\wd0}}
\def\lowdashint{\Yint-}

\def\Zint#1{\mathchoice
    {\ZZint\displaystyle\textstyle{#1}}%
    {\ZZZint\textstyle\scriptscriptstyle{#1}}%
    {}{}%
    \!\int}
\def\ZZint#1#2#3{{\setbox0=\hbox{$#1{#2#3}{\int}$}
    \raise1.15ex\hbox{$#2#3$}\kern-.57\wd0}}
\def\ZZZint#1#2#3{{\setbox0=\hbox{$#1{#2#3}{\int}$}
    \raise0.85ex\hbox{$#2#3$}\kern-.53\wd0}}
\def\highdashint{\Zint-}

\begin{document}
$\begin{array}{@{}lccc@{}}
\toprule
\text{Math mode} & \multicolumn{3}{c@{}}{\text{Integral symbol}}\\
\cmidrule(l){2-4}
& \texttt{\string\lowdashint} 
& \texttt{\string\highdashint}
& \texttt{\string\dashint} \\
\midrule
\texttt{\string\displaystyle} 
& \displaystyle \lowdashint_M f
& \displaystyle \highdashint_M f
& \displaystyle \dashint_M f \\[4ex]
\texttt{\string\textstyle} 
& \lowdashint_M f
& \highdashint_M f
& \dashint_M f \\
\bottomrule
\end{array}$
\end{document}