\oiiint

The \oiiint command in LaTeX is used to represent a triple integral over a three-dimensional region. It is often used in calculus and physics to denote the integration of a function over a volume in three-dimensional space.

Examples

Triple integral of a function f over a volume V.

\oiiint_V f(x, y, z) \, dx \, dy \, dz

Triple integral over a spherical region, often used in physics for mass or charge distributions.

\oiiint_{\text{sphere}} \rho \, dV

Triple integral over a cubic region, integrating a polynomial function.

\oiiint_{\text{cube}} (x^2 + y^2 + z^2) \, dx \, dy \, dz