Vol. 34 (2024)
Articles

A simple evaluation of the quartic integral

Victor H. Moll
Department of Mathematics, Tulane University
William Sean Hendarto
Department of Mathematics, Bandung Institute of Technology

Published 2024-02-13

Keywords

  • Gradshteyn and Ryzhik,
  • quartic

Abstract

The integral
\[ I(a; m) = \int_{0}^{\infty} \frac{dx}{(x^4 + 2ax^2 + 1)^{m+1}} \] is evaluated by elementary methods.