摘要
就定积分换元法的表述,查阅了大量的教科书,并把它们分为六类.通过分析和举反例的方法,发现某些表述中有不必要的条件,某些表述甚至是错误的,而同济大学五版的《高等数学》中的表述更适合于工科学生.
This paper looked up the expression of the substitute method for definite integral in a large number of textbooks, and divided them into six categories. By analysis methods and give counter-examples, found that some statements in unnecessary conditions, and certain statements are even wrong. The expression in Tongji University, （Advanced Mathematics）（5th Edition） is more suitable for engineering students.
出处
《大学数学》
2012年第1期185-191,共7页
College Mathematics
关键词
定积分
换元法
换元函数
单调性
值域
黎曼可积
definite integral
substitute method
substitute function
monotonicity
value range
Riemann integral
