2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139407This article is written with the hope to draw attention to a method that uses integral transforms to find exact values for a large class of convergent series (and, in particular, series of rational terms). We apply the method to some series that generalize a problem published in `The College Mathematics Journal'. Some of the results thus obtained have not been founded in standard references.9 pages, no figuresClassical Analysis and ODEsOn the Use of Integrals to Evaluate Series of Rational Termstext