In mathematics — in particular, in multivariable calculus — a volume integral refers to an integral over a 3-dimensional domain.
A volume integral is a triple integral of the constant function 1, which gives the volume of the region D. That is, the integral
It can also mean a triple integral within a region D in R3 of a function and is usually written as:
A volume integral in cylindrical coordinates is
and a volume integral in spherical coordinates (using the standard convention for angles, i.e. with φ as the azimuth) has the form
Read more about Volume Integral: Example
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