Different types of integrals (∫, ∬, ∭) in LaTeX

In this tutorial, you will learn how to use integral, Double-integral, and Triple-integral with limits in LaTeX.

To write these integrals you can use the amsmath package. This package provides the following commands.

Name	Command	Output
Integral	\int
Double-integral	\iint
Triple-integral	\iiint

Integrals with limits in LaTeX

If you want to add upper and lower limits you can use this:

\int_{min}^{max}
or
\iint_{min}^{max}
or
\iiint_{min}^{max}

But if you want to add upper and lower limits for every single integral symbol in double or triple integral, in this case, you have to use the \int command two or three times. Like this:

Double integral with limits: \int_{min}^{max} \int_{min}^{max}

Triple integral with limits: \int_{min}^{max} \int_{min}^{max} \int_{min}^{max}

Also, you can use the \limits and \nolimits command to change the min and max position in the inline and display math mode.

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

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

Output:

Some examples of double and triple integral.

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

  $$ \int^1_0\int^2_0 $$
  $$ \frac{1}{\pi}\int^\pi_0\int^\pi_0\int^\pi_0 $$
  
\end{document}

Output:

Big integral in LaTeX

If you need different sizes (bigger than regular) of integral symbols then you can use the bigints package. This package provides different commands to get different sizes of integral symbols.

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

  $$ \verb|\bigintssss| < \verb|\bigintsss| < \verb|\bigintss| < \verb|\bigints| < \verb|\bigint|$$
  $$ \bigintssss_{0}^{1} \frac{1}{\frac{1}{x}} , \bigintsss_{0}^{1} \frac{1}{\frac{1}{x}} , \bigintss_{0}^{1} \frac{1}{\frac{1}{x}} , \bigints_{0}^{1} \frac{1}{\frac{1}{x}} , \bigint_{0}^{1} \frac{1}{\frac{1}{x}} $$
  
\end{document}

Output: