解方程计算定积分  

Evaluating Definite Integrals by Solving Equations

作　　者：李玲霞[1] 

机构地区：[1]中南财经政法大学统数学院,湖北武汉430074

出　　处：《高等数学研究》2015年第4期58-59,74,共3页Studies in College Mathematics

摘　　要：将未知定积分置于方程中,通过求解方程而求得定积分结果,该方法简单、灵活,适用范围广,学生易掌握,本文列举了6种情况并举例说明,以供教学参考.This paper establishes equations for definite integrals,and then evaluates the integrals by solving the equations.This method has the advantages of simple structure,flexible ways,and broad applications.Moreover,it is very easy for students to grasp.Finally six cases and relevant examples are presented to explain the teaching method.

关 键 词：定积分计算技巧 换元法 分割积分区间 含参变量的定积分 

分 类 号：O156.1[理学—数学]