Linked from

The 20 pages that link to Line integral, each with the reason it gives.

• Vector fieldRelated: It measures work or circulation along a chosen path through the field.

• Differential formBroader topic: Integrating a 1-form along a curve generalizes work and circulation integrals.

• Arc lengthRelated: Arc length is a line integral of the constant function one.

• Green's theoremNarrower topic: Green's theorem begins with a line integral taken around the region's boundary.

• Conservative forceRelated: Force work is computed by integrating the force along a path.

• CurlRelated: Circulation is computed as a line integral around a small loop.

• Stokes' theoremBroader topic: The theorem's boundary term is a line integral of the field.

• Surface integralCompared with: It integrates along a one-dimensional path rather than across a surface.

• Ampère's circuital lawNarrower topic: The magnetic field is accumulated along the closed path in the law.

• Integral calculusBroader topic: It extends accumulation from intervals to paths through space.

• Conservative vector fieldRelated: Path independence concerns line integrals of the field along curves.

• Multiple integralCompared with: It accumulates along a one-dimensional path rather than throughout a multidimensional region.

• Nonconservative forceBroader topic: Work by a force is computed by integrating its component along the path.

• SourceRelated: Circulation and potential differences provide complementary ways to characterize fields.

• Iterated integralCompared with: It integrates over a one-dimensional path rather than through nested coordinate ranges.

• Volume integralCompared with: It integrates over a one-dimensional path rather than a three-dimensional region.

• Estimation lemmaNarrower topic: A contour integral is the complex-valued instance bounded by the lemma.

• Gradient theoremNarrower topic: The theorem evaluates this integral when the vector field is a gradient.

• Morera's theoremNarrower topic: Morera's condition is a special requirement on complex line integrals.

• Pappus's area theoremNarrower topic: Curve length and its first moment are both expressed through integration along the curve.