@article {MATHEDUC.05609044,
author = {Wu, Yan},
title = {A closed form solution for an unorthodox trigonometric integral.},
year = {2009},
journal = {International Journal of Mathematical Education in Science and Technology},
volume = {40},
number = {6},
issn = {0020-739X},
pages = {814-817},
publisher = {Taylor \& Francis, Abingdon, Oxfordshire},
doi = {10.1080/00207390902826573},
abstract = {Summary: A closed form solution for the trigonometric integral $\int\text{sec}^{2k+1}xdx$, $k=0,1,2,\dots$, is presented in this article. The result will fill the gap in another trigonometric integral $\int\text{sec}^{2m+1}x\tan^{2n}xdx$, which is neglected by most of the calculus textbooks due to its foreseeable unorthodox solution procedure comparing to the other three cases in $\int\text{sec}^mx$ when $m$ is even or $n$ is odd.},
msc2010 = {I55xx},
identifier = {2009e.00512},
}