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In mathematics — in particular, in multivariable calculus — a volume integral refers to an integral over a 3-dimensional domain. Wikibooks Wikiversity has more about this subject: School of Mathematics Wikiquote has a collection of quotations related to: Mathematics Look up Mathematics on Wiktionary, the free dictionary Wikimedia Commons has more media related to: Mathematics Bogomolny, Alexander: Interactive Mathematics Miscellany and Puzzles. ...
Multivariate calculus is a means of analyzing deterministic systems with multiple degrees of freedom. ...
In calculus, the integral of a function is a generalization of area, mass, volume, sum, and total. ...
Dimension (from Latin measured out) is, in essence, the number of degrees of freedom available for movement in a space. ...
Volume integral is a triple integral of the constant function 1, which gives the volume of the region D, that is, the integral Volume, also called capacity, is a quantification of how much space an object occupies. ...
It can also mean a triple integral within a region D in R3 of a function f(x,y,z), and is usually written as: Integral as area under a curve The multiple integral is a kind of definite integral extended to functions of more than one real variable (i. ...
In mathematics, a function is a relation, such that each element of a set (the domain) is associated with a unique element of another (possibly the same) set (the codomain, not to be confused with the range). ...
See also
In vector calculus, the divergence theorem, also known as Gauss theorem, Ostrogradskys theorem, or Ostrogradsky-Gauss theorem is a result that links the divergence of a vector field to the value of surface integrals of the flow defined by the field. ...
In mathematics, a surface integral is a definite integral taken over some surface that may be a curved set in space; it can be thought of as the double integral analog of the path integral. ...
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