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