The integrals in Gradshteyn and Rhyzik. Part 1: A family of logarithmic integrals
arXiv:0704.3872
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 (6)
- Definite integrals by the method of brackets. Part 1
- The integrals in Gradshteyn and Rhyzik. Part 2: Elementary logarithmic integrals
- The integrals in Gradshteyn and Ryzhik. Part 5: Some trigonometric integrals
- The integrals in Gradshteyn and Ryzhik. Part 3: Combinations of Logarithms and Exponentials
- The integrals in Gradshteyn and Ryzhik. Part 7: Elementary examples
- The Laplace transform of the digamma function: an integral due to Glasser, Manna and Oloa