# Integral Sign $\int…$

does anybody know how to write integral signs in LaTex that are slanted to the left, and not the right. See here if you do not know what I mean:

This is how it is written in Bulgaria and Russia and many other places so I am curious. Thank you.

My problem is that the integral sign now is

$$\int ...$$


and is leaning to the right, not the left like shown in the picture I attached. I want to know how to write it so that it is slanted to the left. Thank you

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## migrated from math.stackexchange.comApr 6 '14 at 22:42

This question came from our site for people studying math at any level and professionals in related fields.

Wow. Russians really do have a slanted view of things. –  David H Apr 6 '14 at 22:27
@DavidH a slanted view but can integrate all functions!! –  Jeff Apr 6 '14 at 22:33
@joeA Thanks a lot for this –  Jeff Apr 6 '14 at 22:34
My comment seems to have been lost in the migration. You may find this from tex.stackexchange helpful. Also found this with a little more detail. –  joeA Apr 6 '14 at 22:55

This answer follows the additional Russian typographic tradition (Figure 5 of http://www.staff.uni-giessen.de/partosch/eurotex99/zaitsev.pdf) of having the limits above and below the integral sign in \displaystyle. The \rint is essentially an \int (of the current math style) with a 15 degree rotation applied to it.

\documentclass{article}
\usepackage{amsmath}
\DeclareMathOperator*{\rint}{\ThisStyle{\rotatebox{15}{$\SavedStyle\!\int\!$}}}
\usepackage{scalerel}
\usepackage{graphicx}
\parskip 1ex
\begin{document}
$f=\int_0^t A d\tau =\rint_0^t A d\tau$
\centering
$$f=\int_0^t A d\tau =\rint_0^t A d\tau$$\par
$$\scriptstyle f=\int A d\tau =\rint A d\tau$$\par
$$\scriptscriptstyle f=\int A d\tau =\rint A d\tau$$
\end{document}


And here is a slight variation on the above solution in which a 30% horizontal stretch is applied to the integral sign, in an attempt to provide a width that is more in line with the literature.

\documentclass{article}
\usepackage{amsmath}
\DeclareMathOperator*{\rint}{\ThisStyle{\hstretch{1.3}{\rotatebox{18}{$\SavedStyle\!\int\!$}}}}
\usepackage{scalerel}
\usepackage{graphicx}
\parskip 1ex
\begin{document}
$f=\int_0^t A d\tau =\rint_0^t A d\tau$
\centering
$$f=\int_0^t A d\tau =\rint_0^t A d\tau$$\par
$$\scriptstyle f=\int A d\tau =\rint A d\tau$$\par
$$\scriptscriptstyle f=\int A d\tau =\rint A d\tau$$
\end{document}


And here is a final variation of the 1st solution in which the \rint sign is always a scaled version of the \textstyle\rint, the net effect being to make a particularly wider symbol in \displaystyle than either of the two other approaches.

\documentclass{article}
\usepackage{amsmath}
\DeclareMathOperator*{\rint}{\scalerel*{\rotatebox{17}{$\!\int\!$}}{\int}}
\usepackage{scalerel}
\usepackage{graphicx}
\parskip 1ex
\begin{document}
$f=\int_0^t A d\tau =\rint_0^t A d\tau$
\centering
$$f=\int_0^t A d\tau =\rint_0^t A d\tau$$\par
$$\scriptstyle f=\int A d\tau =\rint A d\tau$$\par
$$\scriptscriptstyle f=\int A d\tau =\rint A d\tau$$
\end{document}


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This is very helpful except I cannot get the codes to run. How come when I try to run these codes, I get errors? "File scalerel.sty' not found. \usepackage" Thanks a lot. –  Jeff Apr 7 '14 at 4:16
That package is quite new; you could probably get it by updating your TeX installation. Alternatively, you can download it from ctan. –  Ian Thompson Apr 7 '14 at 7:41
@Jeff As Ian says, the package can be downloaded. You can place scalerel.sty` in your working directory until such time as you figure out how to install the package permanently. –  Steven B. Segletes Apr 7 '14 at 11:55
@IanThompson Thank you. I will download it now. –  Jeff Apr 7 '14 at 14:20
@StevenB.Segletes & Ian: Thanks, it is all working now! Steven, this code is very helpful to me thanks for all the detail and examples you have provided –  Jeff Apr 7 '14 at 14:26