关于变上限积分函数及其可导性的研究  

Study on the Integral Function with Variable Upper Limit and its Differentiability

作　　者：黄娟霞 HUANG Juan-xia(Mathematics Department,Longnan Teachers’College,Longnan 742500,China)

机构地区：[1]陇南师范高等专科学校数信学院,甘肃成县742500

出　　处：《通化师范学院学报》2020年第6期20-24,共5页Journal of Tonghua Normal University

摘　　要：变上限积分是微积分的重点、难点,它是理解和掌握微积分学基本定理的关键,同时也是微分与积分、不定积分与定积分之间的桥梁和纽带.文章给出变上限积分函数在求极限问题、求极大(小)值问题及求导问题中的应用,对每种应用都配以典型的求解实例,并对其中的求解方法归纳总结,可为解决此类问题提供一定的参考和借鉴.It is the key to understand and master the basic theorem of calculus,and it is also the bridge and link between differential and integral,indefinite integral and definite integral.In this paper,the application of variable upper limit integral function in limit problem,maximum(small)value problem and derivative problem were studied.At the same time,it takes typical examples for each application.It provides some reference and reference for solving this kind of problems.

关 键 词：变上限积分 函数 可导 

分 类 号：O172[理学—数学]