2017, Vol. 2, Issue 6, Part C
Multiple integration of a functionAuthor(s):
Pramod Shinde and Dr. Ashwini NagpalAbstract:
The multiple integral is a generalization of the definite integral to functions of more than one real variable, for example, f(x, y) or f(x, y, z). Integrals of a function of two variables over a region in R2
are called double integrals, and integrals of a function of three variables over a region of R3
are called triple integrals. Just as the definite integral of a positive function of one variable represents the area of the region between the graph of the function and the x-axis, 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. (The same volume can be obtained via the triple integral—the integral of a function in three variables—of the constant function f(x, y, z) = 1 over the above-mentioned region between the surface and the plane.) If there are more variables, a multiple integral will yield hypervolumes of multidimensional functions.Pages: 155-158 | Views: 1076 | Downloads: 23Download Full Article: Click Here
How to cite this article:
Pramod Shinde, Dr. Ashwini Nagpal. Multiple integration of a function. Int J Stat Appl Math 2017;2(6):155-158.