Closed or Contour integral (∮, ∲) in LaTeX

In this tutorial, you will learn how to get different types of Closed integral or contour integral in LaTeX.

There is no default command to get the Closed or Contour integral In LaTeX. But you can load the esint package to get different types of Closed integral symbols. I have listed all the commands that you use after loading the esint package.

Name	Command	Output
Contour integral	\oint
Closed surface integral	\oiint
Closed surface integral	\varoiint
Clockwise contour integral	\varointclockwise
Counterclockwise contour integral	\ointctrclockwise
Counterclockwise contour integral	\varointctrclockwise
Clockwise contour integral	\ointclockwise

The txfonts package also provides more types of Clockwise and Counterclockwise contour integral. Take a look.

Command	Output
\oiintctrclockwise
\oiintclockwise
\varoiintclockwise
\varoiintctrclockwise
\oiiintclockwise
\oiiintctrclockwise
\varoiiintclockwise
\varoiiintctrclockwise

\documentclass{article}
\usepackage{esint}
\begin{document}

  $$ \oint\, f(x)\, dx $$
  $$ \ointctrclockwise C(L\mathrm{d}x+M\mathrm{d}y) $$
  
\end{document}

Output:

Closed integral with limits

To add limits with the Closed integral you can do this:

\oint_{min}^{max}

You can also use \limits and \nolimits to change the position of min and max.

\documentclass{article}
\usepackage{esint}
\begin{document}

\noindent Without \verb|\limits| in math mode:
  $$ \oint_{a}^{b} $$
With \verb|\limits| in math mode:
  $$ \oint\limits_{a}^{b} $$
With \verb|\nolimits| in math mode:
  $$ \oint\nolimits_{a}^{b} $$
Without \verb|\limits| in inline math mode:\\
\begin{center}
    $ \oint_{a}^{b} $
\end{center}
With \verb|\limits| in inline math mode:\\
\begin{center}
    $ \oint\limits_{a}^{b} $
\end{center}
With \verb|\nolimits| in inline math mode:\\
\begin{center}
    $ \oint\nolimits_{a}^{b} $
\end{center}
  
\end{document}

Output:

More examples:

\documentclass{article}
\usepackage{esint}
\begin{document}

  $$ \oint_{\partial \Sigma}\mathbf{F} \cdot \mathrm{d}\mathbf{\Gamma} $$
  $$ \oiint_S \mathbf{F} \cdot \mathbf{\hat{n}} \mathrm{d} $$
  $$ \ointctrclockwise\limits_{\Gamma} x\; \mathrm{d}\gamma $$
  
\end{document}

Output: