"In the beginning there were two calculi, the differential and the integral. The first had been developed to determine the slopes of tangents to... curves, the second to determine... areas... bounded by curves. Algebra, geometry, and trigonometry were simply insufficient to solve general problems of this sort, and prior to the late seventeenth century mathematicians could at best handle only special cases."
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James N. Henle, Eugene M. Kleinberg, Infinitesimal Calculus (1979) Introduction, p.3.
https://en.wikiquote.org/wiki/History_of_calculus
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History of calculus
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