A closed form solution for an unorthodox trigonometric integral

被引：0
|
作者：
Wu, Yan [1 ]
机构：
[1] Georgia Southern Coll, Dept Math Sci, Statesboro, GA 30460 USA
来源：
INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY | 2009年 / 40卷 / 06期
关键词：
trigonometric integral; recursive relation; mathematical induction; binomial expansion; integration by parts;
D O I：
10.1080/00207390902826573
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
A closed form solution for the trigonometric integral integral sec(2k+1) xdx, k = 0, 1, 2,..., is presented in this article. The result will fill the gap in another trigonometric integral integral sec(2m+1) x tan(2n) xdx, which is neglected by most of the calculus textbooks due to its foreseeable unorthodox solution procedure comparing to the other three cases in integral sec(m) x tan(n) xdx when m is even or n is odd.
引用
收藏
页码：814 / 817
页数：6
相关论文
共 50 条
12345