Line Integrals and Potentials DOWNLOAD FREE

Line integrals The line integral of the vector function [Equation goes here - download the original pdf to see it.] over a curve, C, is defined to be [Equation goes here - download the original pdf to see it.] This is written in component form as [Equation goes here - download the original pdf to see it.] When the path of integration, C, is a closed curve, we use the symbol [Equation goes here - download the original pdf to see it.] Example (1) [Example goes here - download the original pdf to see it.] Example (2) [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