A Direct Proof of the Integral Formulae for the Inverse Hyperbolic Functions

Authors

John Engbers, Marquette UniversityFollow
Adam Hammett, Cedarville UniversityFollow

Document Type

Article

Language

eng

Publication Date

9-2016

Publisher

Mathematical Association of America

Source Publication

College Mathematics Journal

Source ISSN

0746-8342

Abstract

In the same vein as a Classroom Capsule of Arnold Insel on the arctangent, we present a direct geometric derivation of the integral formulae for the inverse hyperbolic functions. We then use these formulae to obtain the derivatives of the various hyperbolic trigonometric functions.

Comments

College Mathematics Journal, Vol. 47, No. 4 (September 2016): 297-299. Publisher Link.

Recommended Citation

Engbers, John and Hammett, Adam, "A Direct Proof of the Integral Formulae for the Inverse Hyperbolic Functions" (2016). Mathematics, Statistics and Computer Science Faculty Research and Publications. 457.
https://epublications.marquette.edu/mscs_fac/457