Math 2.0

Real functions Concept

Line integral of a scalar field

Builds on Parametrised curveRectifiable curveFunction of several variables

Summary

The line integral of a scalar field along a curve adds up the values of the field along the curve. Each value is weighted by a small length of the curve. For a non-negative field on a plane curve, it is the area of the curtain between the curve and the graph of the field.

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Euclidean space, object, no evidence levelEuclidean spaceobjectFunction, concept, no evidence levelFunctionconceptFunction of several variables, concept, no evidence levelFunction of several v…conceptVector-valued function, concept, no evidence levelVector-valued functionconceptParametrised curve, concept, no evidence levelParametrised curveconceptRectifiable curve, concept, no evidence levelRectifiable curveconceptLine integral of a scalar field, concept, no evidence levelLine integral of a sc…concept
Each page uses the pages above it. The colour of the bar on a box shows how strong the evidence is, and the box also gives it as text. The list has the same pages.
  • no evidence level
  1. Euclidean space object
  2. Function concept
  3. Function of several variables concept
  4. Vector-valued function concept
  5. Parametrised curve concept
  6. Rectifiable curve concept
  7. Line integral of a scalar field concept

Further reading

  1. Web https://en.wikipedia.org/wiki/Line_integral, Line integral of a scalar field
About this page
Tag02QJVFCNYD
URIm2://02QJVFCNYD
Aliasesscalar-line-integral, integral-with-respect-to-arc-length
Kindconcept
WritingW1 stated
MSC26B12
UsesParametrised curve, Rectifiable curve, Function of several variables

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