Vol. 18 (2009)
Articles

The integrals in Gradshteyn and Ryzhik.Part 12: Some logarithmic integrals

Victor H. Moll
Department of Mathematics, Tulane University, New Orleans, LA 70118, USA
Ronald A. Posey
Department of Mathematics, Baton Rouge Community College, Baton Rouge, LA 70806 USA

Published 2009-03-16

Keywords

  • Logarithmic integrals,
  • Clausen functions,
  • Chebyshev polynomials.

How to Cite

The integrals in Gradshteyn and Ryzhik.Part 12: Some logarithmic integrals. (2009). Scientia Series A: Mathematical Sciences, 18, 77-84. https://revistas.usm.cl/scientia/article/view/132

Abstract

We present the evaluation of some logarithmic integrals. The integrand contains a rational function with complex poles. The methods are illustrated with examples found in the classical table of integrals by I. S. Gradshteyn and I. M. Ryzhik.

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