Line Integrals and Potentials DOWNLOAD FREE

The line integral depends on path The following example illustrates the observation that if a vector function is integrated along a different path, the endpoints being the same, then in general the value of the line integral will not be the same. So, even when the endpoints are the same, the line integral depends on the path between them. Example (3) [Example goes here - download the original pdf to see it.]

Contents of Line Integrals and Potentials 1 Line integrals that are independent of path 2 Curve of integration 3 Potentials 4 Line integrals 5 Proof of the theorem 6 The line integral depends on path 7 Potentials and integration around a closed curve 8 The line integral does not depend on the parameter 9 Conservative scalar fields 10 Work integral 11 Exact differential forms 12 Work done is equal to gain in kinetic energy 13 Simply connected domains 14 Exactness and independence of path

Related articles: (1) The Curl of a Vector Field, (2) Green's Theorem in the Plane