The integrals in Gradshteyn and Ryzhik. Part 3: Combinations of logarithms and exponentials | Scientia Series A: Mathematical Sciences

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Published: 2025-08-08

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

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Integrals

Victor H. Moll

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

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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How to Cite

Moll, V. H. (2025). The integrals in Gradshteyn and Ryzhik. Part 3: Combinations of logarithms and exponentials. Scientia Series A: Mathematical Sciences, 15, 31-36. https://doi.org/10.71712/

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