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

页码：814 / 817

页数：6

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