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积分上限函数在中值问题证明中的应用
Application of Integration of Variable Upper Limit in Proof of Median Problem
【摘要】 积分上限函数在微积分基本定理的证明中起着关键的作用,是微积分中一类具有特殊形式的函数,是学生学习的重点和难点。文中结合几个实例介绍积分上限函数在中值问题证明中的应用。
【Abstract】 Integral as a function of its upper limit plays an important role in proof of calculus fundamental theorem.It is a special function in calculus,and it is important and difficult for the students to study.Combining with some examples,the paper introduces the application of integral as a function of its upper limit in the proof of median problem.
【关键词】 积分上限函数;
辅助函数;
Rolle定理;
Cauchy定理;
积分中值定理;
【Key words】 integral as a function of its upper limit; auxiliary functions; Rolle Theorem; Cauchy Theorem; integral median theorem;
【Key words】 integral as a function of its upper limit; auxiliary functions; Rolle Theorem; Cauchy Theorem; integral median theorem;
- 【文献出处】 河北工程技术高等专科学校学报 ,Journal of Hebei Engineering and Technical College , 编辑部邮箱 ,2013年02期
- 【分类号】O172
- 【下载频次】184