Science and Mathematics Faculty Publications

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

John Engbers
Adam J. Hammett, Cedarville University


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.