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This article is written with the hope to draw attention to a method that usesintegral transforms to find exact values for a large class of convergent series(and, in particular, series of rational terms). We apply the method to someseries that generalize a problem published in `The College MathematicsJournal'. Some of the results thus obtained have not been founded in standardreferences.

On the Use of Integrals to Evaluate Series of Rational Terms