A Closed Form Solution for An Unorthodox Trigonometric Integral

Authors

• Yan Wu, Georgia Southern UniversityFollow

Document Type

Article

Publication Date

2009

Publication Title

International Journal of Mathematical Education in Science and Technology

DOI

10.1080/00207390902826573

ISSN

1464-5211

Abstract

A closed form solution for the trigonometric integral f sec^2k+1 xdx, k = 0, 1, 2, ... is presented in this article. The result will fill the gap in another trigonometric integral f sec^2m+1 x tan²ⁿ xdx, which is neglected by most of the calculus textbooks due to its foreseeable unorthodox solution procedure comparing to the other three cases in f sec^m x tanⁿ xds when m is even or n is odd.

Recommended Citation

Wu, Yan. 2009. "A Closed Form Solution for An Unorthodox Trigonometric Integral." International Journal of Mathematical Education in Science and Technology, 40 (6): 814-817. doi: 10.1080/00207390902826573
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/238

Copyright

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