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

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.

6 pages

Cited by in corpus (8)

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• The integrals in Gradshteyn and Ryzhik. Part 7: Elementary examples
• Logarithmic Integrals: A Review from Gradshteyn and Ryzhik to Recent Times
• The Laplace transform of the digamma function: an integral due to Glasser, Manna and Oloa