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A closed form solution for an unorthodox trigonometric integral
Author: Wu, Yan
Source: International Journal of Mathematical Education, Volume 40, Number 6, January 2009 , pp. 814-817(4)
Publisher: Taylor and Francis Ltd
Abstract:
A closed form solution for the trigonometric integral [image omitted] is presented in this article. The result will fill the gap in another trigonometric integral [image omitted], which is neglected by most of the calculus textbooks due to its foreseeable unorthodox solution procedure comparing to the other three cases in [image omitted] when m is even or n is odd.Keywords: trigonometric integral; recursive relation; mathematical induction; binomial expansion; integration by parts
Document Type: Research article
DOI: http://dx.doi.org/10.1080/00207390902826573
Affiliations: 1: Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460, USA
Publication date: 2009-01-01
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