Generalizations of Russell-style integrals

Abstract

First some definite integrals of W. H. L. Russell, almost all with trigonometric function integrands, are derived, and many generalized. Then a list is given in Russell-style of generalizations of integral identities of Amdeberhan and Moll. We conclude with a brief and noncomprehensive description of directions for further investigation, including the significant generalization to elliptic functions.

13 pages, no figures

References in corpus (2)

• A dozen integrals: Russell-style
• Integrals in Gradshteyn and Ryzhik: Hyperbolic and trigonometric function

Cited by in corpus (1)

• A Series Representation for Riemann's Zeta Function and some Interesting Identities that Follow