On integrals involving quotients of hyperbolic functions

Abstract

We evaluate some integrals over $[0,\infty )$ of quotients of powers of the hyperbolic functions $\sinh x$ and $\cosh x$ using a hypergeometric approach. Some of these results appear to be new but several verify the entries in the table of integrals of Gradshteyn and Rhyzik.

11 pages, 0 figures