Compatibility of the method of brackets with classical integration rules

Abstract The method of brackets is a symbolic approach to the computation integrals over R n {{\mathbb{R}}}^{n} based on deep result by Ramanujan. Its usefulness obtain new and difficult has been demonstrated many times in last few years. This article shows that this consistent with most classical rules for integrals, such as fundamental theorem calculus, Laplace transform, reduction formula integration functions spherical symmetry, Cauchy-Schlömilch transformation, explicit evaluations multivariate product Bessel obtained Exton Srivastava. work part program dedicated derivation solid theoretical grounds use attractive method.