Vol. 35 (2025)
Articles

Brackets: a method for definite integration

Ivan Gonzalez
Instituto de Fisica y Astronomia, Universidad de Valparaiso
Victor H. Moll
Department of Mathematics, Tulane University

Published 10-06-2024

Keywords

  • Integrals,
  • Ramanujan master theorem

Abstract

The method of brackets is an integration method with origins in the evaluation of Feynman diagrams. It consists of a small number of rules, some of which are still at the heuristic level. This work contains examples which illustrate this method. Elementary as well as more involved de nite integrals are discussed.
The main advantage of this method over other classical procedures is that the method of brackets is easy to apply. All computations are reduced to linear systems of small order.