Articles
The integrals in Gradshteyn and Ryzhik.Part 9: Combinations of logarithms, rational andtrigonometric functions.
Publicado 2008-11-18
Palabras clave
- Logarithms,
- rational and trigonometric functions
Derechos de autor 2025 Scientia
Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial 4.0.
Cómo citar
The integrals in Gradshteyn and Ryzhik.Part 9: Combinations of logarithms, rational andtrigonometric functions. (2008). Scientia, 17, 27-44. https://revistas.usm.cl/scientia/article/view/120
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.
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