![]() ![]() Integrals of a function of two variables over a region in R^2 are called double integrals. The multiple integral is a type of definite integral extended to functions of more than one real variable-for example, f(x, y) or f(x, y, z). hypervolume: a volume in more than three dimensions.Fubini’s theorem: a result which gives conditions under which it is possible to compute a double integral using iterated integrals.If there are more variables than 3, a multiple integral will yield hypervolumes of multi-dimensional functions.The double integral of a positive function of two variables represents the volume of the region between the surface defined by the function (on the three dimensional Cartesian plane where z = f(x, y)) and the plane which contains its domain. ![]() Integrals of a function of two variables over a region in R^2 are called double integrals. The multiple integral is a type of definite integral extended to functions of more than one real variable -for example, f(x, y) or f(x, y, z).
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