vexFunction[J].JournalofKaifengUniversity,Vol.17,No.2,Jun.2003.122-164.[13]W.Rmdin,PrincipleofMathematicalAnalysis(Secondedition),McGraw-Hill,NewYork,1964.96-102.MeanValueTheoreminMathematicalAnalysisLiZhengbang(Grade06,Class5,MajorinMathematicsandAppliedMathematics,DepartmentofMathematics,ShaanxiUniversityofTechnology,Hanzhong723000,Shaanxi)Tutor:LiJinlongAbstract:Thispaperdescribesthemeanvaluetheoreminmathematicalanalysisapplicationnoteandafewofthemajorapplications.Theseapplicationsaremainly:1.Demandfunctioninanintervalontheaverage;2.Theestimatedvalueofdefiniteintegral;3.Ordertocontainthelimitsofdefiniteintegrals;4.Defineintegralofsymbol;5.Proofoftheexistenceofthevalueproposition;6.Toproveintegralinequality,7.Toprovemonotonicityofafunction.Keywords:intergral;average-value;theory;applied.
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