Vol. 36 (2026)
Articles

Derivation of some definite integrals

Robert Reynolds Department of Mathematics and Statistics, York University
portada oficial Scientia

Published 2025-02-09

Keywords

  • Prudnikov ,
  • Gradshteyn and Ryzhik ,
  • denite integral,
  • Catalan's constant,
  • contour integration,
  • elliptic functions,
  • special functions
  • ...More
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How to Cite

Reynolds, R. . (2025). Derivation of some definite integrals. Scientia Series A: Mathematical Sciences, 36, 37-137. https://doi.org/10.71712/6k7n-5750

Abstract

In this work derivations of de nite integrals listed in Prudnikov volume I, Gradshteyn and Ryzhik and a few other tables are produced along with errata. Special cases of these integrals in terms of fundamental constants are also evaluated. The method used in these derivations is contour integration.

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