The Integral of Secant and Stereographic Projections of Conic Sections
History and Overview
2022-04-26 v1
Abstract
We show that the four best-known substitutions used to integrate secant rely on different rational parametrizations of conic sections, coming from stereographic projections. We also investigate other possible explanations for the four substitutions, as well as connections between the buildups leading to them.
Keywords
Cite
@article{arxiv.2204.11187,
title = {The Integral of Secant and Stereographic Projections of Conic Sections},
author = {George Jennings and David Ni and Wai Yan Pong and Serban Raianu},
journal= {arXiv preprint arXiv:2204.11187},
year = {2022}
}
Comments
11 pages, 4 figures