KnowraGreen's theoremLinked fromLinked fromThe 15 pages that link to Green's theorem, each with the reason it gives.All 15Broader topic 2Related 10Compared with 3AreaRelated: It can compute enclosed area from information along the boundary.Line integralRelated: It converts planar boundary integrals into area integrals of derivatives.Divergence theoremRelated: It is the two-dimensional counterpart, linking boundary behavior to interior derivatives.Residue theoremRelated: It is a real-variable counterpart for converting boundary integrals into interior information.Cauchy's integral theoremRelated: Its real-variable form can prove the complex theorem under additional smoothness assumptions.Closed curveRelated: For suitable regions, it turns integration around a closed boundary into integration across its enclosed area.Iterated integralRelated: It connects repeated area integration with circulation along a region's boundary.Multivariable calculusRelated: It connects boundary behavior with quantities inside a two-dimensional region.Bendixson–Dulac theoremRelated: It converts the closed-orbit flow integral into an area integral of divergence.Holditch's theoremRelated: Boundary integrals provide a way to express the area change caused by the moving chord.