The integrals in Gradshteyn and Ryzhik.Part 9: Combinations of logarithms, rational andtrigonometric functions.

Tewodros Amdeberhan; Victor H. Moll; Armin  Straub; Pat Whitworth

doi:10.71712/

PDF (inglés)

Publicado: 2025-08-08

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

Palabras clave:

Logarithms, rational and trigonometric functions

Tewodros Amdeberhan

Department of Mathematics, Tulane University, New Orleans, LA 70118

Victor H. Moll

Department of Mathematics, Tulane University, New Orleans, LA 70118

Armin Straub

Department of Mathematics, Tulane University, New Orleans, LA 70118

Pat Whitworth

Department of Mathematics, Tulane University, New Orleans, LA 70118

Resumen

The table of Gradshteyn and Ryzhik contains many integrals with integrands of the form \(R_1(x)\) \(\ln R_2(x))^m\), where \(R_1\) and \(R_2\) are rational functions. In this paper we describe some examples where the logarithm appears to a single power, that is \(m = 1\), and the poles of \(R_1\) are either real or purely imaginary.

Número

Vol. 17 (2009)

Sección

Articles

Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial 4.0.

Cómo citar

Amdeberhan, T., Moll, V. H., Straub, A. ., & Whitworth, P. (2025). The integrals in Gradshteyn and Ryzhik.Part 9: Combinations of logarithms, rational andtrigonometric functions. Scientia, 17, 27-44. https://doi.org/10.71712/