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A Direct Proof of the Integral Formulae for the Inverse Hyperbolic Functions
John Engbers and Adam Hammett
The College Mathematics Journal
Vol. 47, No. 4 (September 2016), pp. 297-299
Published by: Mathematical Association of America
Stable URL: http://www.jstor.org/stable/10.4169/college.math.j.47.4.297
Page Count: 3
You can always find the topics here!Topics: Hyperbolic functions, Mathematical integrals, Hyperbolas, Mathematical functions, Trigonometric functions, Quadrants, College mathematics, Circles
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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.
Copyright 2016 The Mathematical Association of America