This is a review of various methods used by many mathematicians to determine the area of the segment bounded by a parabola and a line. We include descriptions of proofs from the Greek period (Archimedes), the Arabic period (ibn Qurra and ibn Sinan), and the 1600's in European (Galileo, Roberval, Fermat and Wallis, among others), in order to display the changing nature of mathematics.
Swain, Gordon A., "The History of the Area between a Line and a Parabola" (2011). ACMS Conference Proceedings 2011. 20.
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