邵阳学院学报：自然科学版
邵暘學院學報：自然科學版
소양학원학보：자연과학판
Journal of Shaoyang University:Science and Technology
2012年
3期
18-20
,共3页
积分中值定理%区间%中间点%改进
積分中值定理%區間%中間點%改進
적분중치정리%구간%중간점%개진
mean value theorem for integrals%interval%intermediate point%modified
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？？？b
積分中值定理中,中間點取值區間是;在實際應用中常混淆成,而髮生該定理的使用錯誤.實質上積分中值定理對中間點取開區間時仍成立,本文對此作瞭證明,可稱為改進後？a？？？b a？？？b
적분중치정리중,중간점취치구간시;재실제응용중상혼효성,이발생해정리적사용착오.실질상적분중치정리대중간점취개구간시잉성립,본문대차작료증명,가칭위개진후？a？？？b a？？？b
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.
