Abstract
There are two principal types of integrals involving functions of several independent variables. A line integral is an integral of a differential with several independent variables. It is carried out on a specified path in the space of the independent variables. The line integral of an exact differential depends only on the endpoints of the path, but the line integral of an inexact differential depends on the path. A multiple integral has as its integrand function a function of several variables. Each of the independent variables is integrated, one after another.
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