几类特殊函数的定积分的计算解析  

The Calculation of Definite Integral of Several Special Functions

作　　者：马艳丽[1] MA Yanli(General Education Department,Anhui Xinhua University,Hefei,Anhui 230088,China)

机构地区：[1]安徽新华学院通识教育部,安徽合肥230088

出　　处：《玉溪师范学院学报》2021年第6期22-28,共7页Journal of Yuxi Normal University

基　　金：安徽省高校自然科学重点研究项目(项目编号:KJ2019A0875,KJ2019A0876);安徽省教育教学研究项目(项目编号:2020jyxm0813,2020jyxm0735)。

摘　　要：定积分是高等数学的一个重要组成部分,其计算方法和技巧非常丰富,而常规的方法有:N-L公式、换元积分法和分部积分法.这些方法学生比较容易理解和掌握.但对于特殊类型函数的定积分的计算,学习者往往感到束手无策.为此,介绍六类特殊函数定积分的计算方法及技巧,并结合一些典型的例题,旨在减少计算时间,拓开解题思维,提高学生定积分的计算能力.As an important part of higher mathematics,definite integral can be calculated in many ways with various skills,of which N-L formula,integration by substitution and integration by parts are three conventional methods easy for students to understand and master,but for the calculation of definite integral of special functions,they often feel helpless.To improve their divergent thinking and calculating ability,this paper introduces the calculation methods and skills of definite integral of six special functions with some typical examples.

关 键 词：定积分 特殊函数 分段函数 周期函数 变量代换法 分部积分法 

分 类 号：O172.1[理学—数学]