A closed form solution for an unorthodox trigonometric integral

Author: Wu, Yan¹

Source: International Journal of Mathematical Education in Science and Technology, Volume 40, Number 6, January 2009 , pp. 814-817(4)

Publisher: Taylor and Francis Ltd

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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: 10.1080/00207390902826573

Affiliations: 1: Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460, USA

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