一类三角函数有理式的不定积分探讨  

Discussions on Indefinite Integral of Rational Formula of a Class of Trigonometric Functions

作　　者：郑剑平 ZHENG Jian-ping(School of Economy and Technology, Anhui Agricultural University, Hefei Anhui, 230011)

机构地区：[1]安徽农业大学经济技术学院

出　　处：《山西大同大学学报（自然科学版）》2019年第3期40-41,72,共3页Journal of Shanxi Datong University(Natural Science Edition)

基　　金：安徽省教育厅质量工程项目[2016jyxm0328];安徽省2018年度高校优秀青年人才支持计划项目[gxyq2018152];安徽省质量工程统计学教学团队项目[2017jxtd134]

摘　　要：在不定积分的计算中,经常会遇到三角函数有理式的不定积分,为更好的掌握这类不定积分,介绍了一类三角函数有理式的不定积分,分类讨论其求解问题,得到了它的计算公式,并举例说明计算公式的实用性和便捷性。In calculating indefinite integral, we often encounter indefinite integral of rational formula of trigonometric function. In order to help students master this indefinite integral better, this paper introduces a kind of indefinite integral of rational formula of trigo. nometric function, discusses its solving problems in classification, obtains its calculation formula, and illustrates the practicability and convenience of the calculation formula with examples.

关 键 词：不定积分 三角函数有理式 计算公式 

分 类 号：O13[理学—数学]