Triple Integral
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, the function is integrated over a three-dimensional region, often represented in Cartesian coordinates as \int \int \int f(x, y, z) \, dx \, dy \, dz .
Triple integrals can also be applied in various coordinate systems, such as cylindrical or spherical coordinates, to simplify calculations. They are useful in fields like physics and engineering for determining quantities like mass, charge, or probability distributions in three-dimensional objects.