A Direct Proof of the Integral Formulae for the Inverse Hyperbolic Functions
Mathematical Association of America
College Mathematics Journal
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.
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.