Historically, the basic concepts of definite integrals were used by ancient Greeks, principally Archimedes (287-212 B.C.), which was many years before the differential calculus was discovered. In the seventeenth century, almost simultaneously but working independently, Newton and Leibniz showed how the calculus could be used to find the area of a region bounded by a set of curves by evaluating a definite integral through anti differentiation. The procedure involves what are known as “The Fundamental Theorems of the Calculus”. These

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