Line Integrals and Potentials DOWNLOAD FREE

Potentials Let F be a vector field in a domain D. Then the line integral [Equation goes here - download the original pdf to see it.] is independent of path, if, and only if [Equation goes here - download the original pdf to see it.] for some scalar field f. [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