定积分分部积分法在微分定理证明中的应用  

The application of partial integral method of definite integral in differential theorem proving

作　　者：乔丹 王思颖 蔺小林 QIAO Dan;WANG Siying;LIN Xiaolin(School of Arts and Sciences,Shaanxi University of Science&Technology,Xi'an 710021,China)

机构地区：[1]陕西科技大学文理学院,陕西西安710021

出　　处：《高师理科学刊》2021年第4期9-11,共3页Journal of Science of Teachers＇College and University

摘　　要：微分定理在研究函数性质中有非常重要作用,对微分定理进行深入研究具有理论和实际应用意义.应用定积分的分部积分方法,在一定的条件下证明了3个微分定理.同时,应用拉格朗日中值定理给出了牛顿-莱布尼兹公式一种新的证明方法.Differential theorem plays a very important role in the study of function properties,it is of theoretical and practical significance to study the differential theorem in depth.Applying the partial integral method of definite integral,three differential theorems are proved under certain conditions.At the same time,a new proof method of Newton-Leibniz formula is given by using Lagrange mean value theoreml.

关 键 词：分部积分法 微分定理 牛顿-莱布尼兹公式 

分 类 号：O171[理学—数学]