# Integrating a Vector Field along a Curve

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The line integral of the vector field along the curve gives the work done by the field on an object moving along the curve through the field. A field is called conservative if only the starting and ending points matter; in a conservative field the work done around a closed curve is zero. The first two fields in the popup menu are conservative.

Contributed by: Gosia Konwerska (December 2008)

Open content licensed under CC BY-NC-SA

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"Integrating a Vector Field along a Curve"

http://demonstrations.wolfram.com/IntegratingAVectorFieldAlongACurve/

Wolfram Demonstrations Project

Published: December 7 2008