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The Ramanujan Journal

, Volume 50, Issue 3, pp 551–571 | Cite as

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

  • Juan Arias de ReynaEmail author
Article
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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.

Keywords

Definite integrals Elliptic integrals Complex analysis 

Mathematics Subject Classification

26A42 30E20 28A99 33E05 
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Notes

References

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Facultad de MatemáticasUniv. de SevillaSevilleSpain

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