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

Víctor H.  Moll

doi:10.71712/

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Published: 2025-08-08

DOI: https://doi.org/10.71712/

Keywords:

Integrals, Bernoulli polynomials, Hurwitz zeta function.

Víctor H. Moll

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

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.

Issue

Vol. 14 (2007)

Section

Articles

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Moll, V. H. . (2025). The integrals in Gradshteyn and Ryzhik. Part 1: A family of logarithmic integrals. Scientia Series A: Mathematical Sciences, 14, 1-6. https://doi.org/10.71712/