A triple integral is a mathematical tool used to calculate the volume under a surface in three-dimensional space. It extends the concept of single and double integrals, which are used for functions of one and two variables, respectively. In a triple integral, you integrate a function over a three-dimensional region, often represented as \iiint f(x, y, z) \, dV , where dV is the volume element. Triple integrals can be applied in various fields, such as physics and engineering, to find quantities like mass, charge, or probability in three-dimensional objects. They can be evaluated in different coordinate systems, including Cartesian, cylindrical, and spherical coordinates, depending on the symmetry of the region being analyzed.