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Rubi is a system for finding antiderivatives of mathematical expressions. It uses pattern-matching and a large set of currently over 6600 integration rules to solve an integration problem step-by-step until it has found an (often optimal) antiderivative. Rubi is verified against a large set of over 70000 integrals, and beside its Mathematica implementation we present here, it is already used in other open-source projects.

Archive DOI: pending