---
tag: 0H5MR9B6GT
kind: concept
name: Line integral of a vector field
aliases: [work-integral, circulation-integral]
msc: [26B12]
uses: [0299VCW1TH, 0G7WM8DX4P]
sources:
  - url: https://en.wikipedia.org/wiki/Line_integral
    locator: Line integral of a vector field
---

## Summary

The line integral of a [[vector field|0299VCW1TH]] along an oriented curve adds up the component of the field along the direction of motion.
In physics it is the work that a force field does on a particle that moves along the curve.