A Closed Form Solution for An Unorthodox Trigonometric Integral

Yan Wu

doi:10.1080/00207390902826573

A Closed Form Solution for An Unorthodox Trigonometric Integral

Yan Wu

Mathematical Sciences

Georgia Southern University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	American English
Journal	International Journal of Mathematical Education in Science and Technology
Volume	40
DOIs	https://doi.org/10.1080/00207390902826573
State	Published - Jan 1 2009

Keywords

binomial expansion
integration by parts
mathematical induction
recursive relation
trigonometric integral

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Mathematics

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10.1080/00207390902826573License: Unspecified

https://doi.org/10.1080/00207390902826573

Cite this

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title = "A Closed Form Solution for An Unorthodox Trigonometric Integral",

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 = "binomial expansion, integration by parts, mathematical induction, recursive relation, trigonometric integral",

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year = "2009",

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N2 - 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.

AB - 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.

KW - binomial expansion

KW - integration by parts

KW - mathematical induction

KW - recursive relation

KW - trigonometric integral

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/238

UR - https://doi.org/10.1080/00207390902826573

U2 - 10.1080/00207390902826573

DO - 10.1080/00207390902826573

M3 - Article

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VL - 40

JO - International Journal of Mathematical Education in Science and Technology

JF - International Journal of Mathematical Education in Science and Technology

ER -

A Closed Form Solution for An Unorthodox Trigonometric Integral

Abstract

Keywords

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