Line Integrals and Potentials
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Line integrals
Equations are omitted for technical reasons - download the original pdf
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.]
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Contents of
Line Integrals and Potentials
1 Line integrals that are independent of path
2 Curve of integration
3 Line integrals
4 Potentials
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 Work done is equal to gain in kinetic energy
12 Exact differential forms
13 Simply connected domains
14 Exactness and independence of path
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