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| | Integrate (Site not responding. Last check: 2007-10-29) |
 | | For other meanings of "integral" see integration and integral (disambiguation).'' In calculus, the integral of a function is a generalization of area, mass, volume, sum, and total. |
 | | Intuitively, the integral of a continuous, positive real-valued function ''f'' of one real variable ''x'' between a left endpoint ''a'' and a right endpoint ''b'' represents the area bounded by the lines ''x=a'', ''x=b'', the ''x''-axis, and the curve defined by the graph of ''f''. |
 | | As an example, if ''f'' is the constant function ''f''(''x'')=3, then the integral of ''f'' between 0 and 10 is the area of the rectangle bounded by the lines ''x''=0, ''x''=10, ''y''=0, and ''y''=3. |
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