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Article
A Direct Proof of the Integral Formulae for the Inverse Hyperbolic Functions
The College Mathematics Journal
  • John Engbers
  • Adam J. Hammett, Cedarville University
Document Type
Article
Publication Date
9-1-2016
DOI
10.4169/college.math.j.47.4.297
Disciplines
Keywords
  • Inverse hyperbolic functions,
  • hyperbolic trigonometric functions
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.

Citation Information
John Engbers and Adam J. Hammett. "A Direct Proof of the Integral Formulae for the Inverse Hyperbolic Functions" The College Mathematics Journal Vol. 47 Iss. 4 (2016) p. 297 - 299
Available at: http://works.bepress.com/adam_hammett/24/