Weconsiderthecomputationofthe.Cauchyprincipalvaluemtegralbyquadratureformulaeofcompoundtype,whichareobtainedbyreplacingfbyapiecewisedefinedfunctionF,[_f].Thebehaviouroftheconstantsmtheestimateswherequadratureerror)isdeterminedforfixediandwhichmeansthatnotonlythe.order,butalsothecoefficientofthemaintermofisdetermined.Thebehaviouroftheseerrorconstantsiscompared-withthecorrespondingonesobtainedforthe.methodofsubtractionofthesingularity.Asitturnsout,theseerrorconstantshave,ingeneral,thesameasymptoticbehaviour.