积分中值定理改进后的应用  

Application of the Modified Mean Value Theorem of Integrals

作　　者：周芳芹[1] 汤剑[1] 朱溦[1] 

机构地区：[1]衢州学院,浙江衢州324000

出　　处：《邵阳学院学报（自然科学版）》2012年第3期18-20,共3页Journal of Shaoyang University：Natural Science Edition

基　　金：衢州学院科学研究基金项目(自然科学类)一般项目(KZY1117)

摘　　要：积分中值定理中,中间点取值区间是;在实际应用中常混淆成,而发生该定理的使用错误.实质上积分中值定理对中间点取开区间时仍成立,本文对此作了证明,可称为改进后?a???b a???The interval of intermediate point ＂ ξ ＂ in the Mean Value Theorem of Integrals is a 〈 ξ 〈 b, which is often mistaken as a 〈 ξ 〈 b. In fact, when the condition of the Mean Value Theorem of Integrals is changed into open interval, conclusions are still right. In this paper, the open interval proposition is discussed. Using the Modified Mean Value Theorem of Integrals in solving practical problems, we find that it is more convenient than the original theorem.

关 键 词：积分中值定理 区间 中间点 改进 

分 类 号：O172.2[理学—数学]