Introduction to the \iint LaTeX Command

The \iint command in LaTeX is used to typeset double integrals. It is used to represent the integral of a function over a two-dimensional domain. The command is part of the amsmath package and is usually used in conjunction with the \int command for single integrals.

Syntax

The syntax for the \iint command is as follows:

\iint_{lower limit}^{upper limit} function(x,y) \, dx \, dy

• The lower limit and upper limit represent the limits of integration for the double integral.
• The function(x,y) represents the function being integrated over the two-dimensional domain.
• The \, is a spacing command used to add a small space between the integrand and the differential.

Examples

Here are some examples of how to use the \iint command in LaTeX:

Basic double integral:

\iint_{0}^{1}\iint_{0}^{2} x^2+y^2 \, dx \, dy

Double integral with parentheses:

\iint_{-1}^{1} \iint_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}} e^{y^2} \, dy \, dx

Double integral with fraction:

\iint_{0}^{\pi} \iint_{0}^{r} \frac{r^2 \sin\theta}{\left(1 + r^2 - 2r\cos\theta\right)^{\frac{3}{2}}} \, dr \, d\theta

Conclusion

The \iint command in LaTeX is used to typeset double integrals. By following the syntax and examples given above, you can use the command in your own LaTeX documents.