# Journal of the Ramanujan Mathematical Society

Volume 36, Issue 1, March 2021 pp. 23–32.

On integrals involving quotients of hyperbolic functions

**Authors**:
S. A. Dar and R. B. Paris

**Author institution:**Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia,
New Delhi, 110 025, India

**Summary: **
We evaluate some integrals over [0,∞) 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.

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