The integrals in Gradshteyn and Ryzhik. Part 1: A family of logarithmic integrals

Víctor H.  Moll

Vol. 14 (2007)

Articles

The integrals in Gradshteyn and Ryzhik. Part 1: A family of logarithmic integrals

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Víctor H. Moll

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Víctor H. Moll
Department of Mathematics, Tulane University, New Orleans, LA 70118, U.S.A

Published 27-02-2025

Keywords

Integrals,
Bernoulli polynomials,
Hurwitz zeta function.

Abstract

We present the evaluation of a family of logarithmic integrals. This provides a unified proof of several formulas in the classical table of integrals by I. S. Gradshteyn and I. M. Rhyzik.

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