Integral of Power/Fermat's Proof/Historical Note
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Historical Note on Fermat's proof of Integral of Power
The integral of a power for rational power was used by Fermat, and predated the work done by Newton and Leibniz by a considerable period.
Sources
- 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {B}.5$: Fermat's Calculation of $\int_0^b x^n \rd x$ for Positive Rational $n$