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Definition: Also called a Riemann integral. An integral is the numerical measure of the area bounded above by the graph of a given function, below by the x-axis, and on the sides by ordinates drawn at the endpoints of a specified interval; the limit, as the norm of partitions of the given interval approaches zero, of the sum of the products of the function evaluated at a point in each subinterval times the length of the subinterval. Integration is the process of evaluating an integral.
Source: Random House Dictionary -- Integral