KnowraCauchy's integral theoremLinked fromLinked fromThe 10 pages that link to Cauchy's integral theorem, each with the reason it gives.All 10Broader topic 1Related 7Compared with 2Residue theoremCompared with: It gives zero when no singularities lie inside, the residue theorem’s simplest case.Argument principleCompared with: It gives a vanishing integral under holomorphy, unlike the logarithmic-derivative integral that counts singularities.