Integral - Latex

This article introduces a way to make an integral with Latex.

Integral sign

Integral sign is present everywhere in mathematics.

In Latex, to display an integral, it is possible to use the command \int.

\int_{a}^{b}f(x)dx

This gives :

$$\int_{a}^{b}f(x)dx$$

Multi-line integral

It is possible that you will find an integral written on a line as \int_{a}^{b}f(x)dx. You can force the display of the integral (“in large”) on several lines by using the following command :

\displaystyle \int_{a}^{b}f(x)dx

This gives :

$$\displaystyle \int_{a}^{b}f(x)dx$$

Other integral signs

You can double, triple, etc. the integral sign :

LatexResult
\int $\int$
\iint $\iint$
\iiint $\iiint$

An \oint integral sign is also possible.

LatexResult
\oint $\oint$
\oiiint $\oiiint$
\oiiint $\oiiint$

These integral signs “with a circle” are generally used to denote an integral on a closed curve. For exemple an integral on a circle $C$. $$\oint_C f(x) dx = \int_0^{2\pi} f(x)dx$$ Less approximations here : Contour Integration This is only a notation, integral rules still apply here. For exemple, you can check the Maxwells equations.