Vol. 15 (2007)
Articles

The integrals in Gradshteyn and Ryzhik. Part 3: Combinations of logarithms and exponentials

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

Published 2007-01-16

Keywords

  • Integrals

How to Cite

The integrals in Gradshteyn and Ryzhik. Part 3: Combinations of logarithms and exponentials. (2007). Scientia Series A: Mathematical Sciences, 15, 31-36. https://revistas.usm.cl/scientia/article/view/99

Abstract

We present the evaluation of a family of exponential-logarithmic integrals. These have integrands of the form \(P(e^{tx} \cdot \ln x)\) where \(P\) is a polynomial.
The examples presented here appear in sections 4.33, 4.34 and 4.35 in the classical table of integrals by I. Gradshteyn and I. Ryzhik. 

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