The value of an integral in Gradshteyn and Ryzhik’s table

Abstract

In 2010, V. H. Moll observed that entry 3.248.5 in the sixth edition of Gradshteyn and Ryzhik’s table of integrals was incorrect, and he asked for the value of the integral. We evaluate the integral in terms of two elliptic integrals. The evaluation is standard but involved, using real and complex analysis.

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Correspondence to Juan Arias de Reyna.

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Arias de Reyna, J. The value of an integral in Gradshteyn and Ryzhik’s table. Ramanujan J 50, 551–571 (2019). https://doi.org/10.1007/s11139-018-0084-x

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Keywords

  • Definite integrals
  • Elliptic integrals
  • Complex analysis

Mathematics Subject Classification

  • 26A42
  • 30E20
  • 28A99
  • 33E05