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