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=== Leibniz and Newton === The major advance in integration came in the 17th century with the independent discovery of the [[fundamental theorem of calculus]] by [[Gottfried Wilhelm Leibniz|Leibniz]] and [[Isaac Newton|Newton]].<ref>{{Harvnb|Stillwell|1989|p=131}}.</ref> The theorem demonstrates a connection between integration and differentiation. This connection, combined with the comparative ease of differentiation, can be exploited to calculate integrals. In particular, the fundamental theorem of calculus allows one to solve a much broader class of problems. Equal in importance is the comprehensive mathematical framework that both Leibniz and Newton developed. Given the name infinitesimal calculus, it allowed for precise analysis of functions with continuous domains. This framework eventually became modern [[calculus]], whose notation for integrals is drawn directly from the work of Leibniz.
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