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In calculus, the definite integral of a quadratic equation refers to the process of finding the accumulated area under the curve of a quadratic function within a specific interval, or the net signed area between the curve and the x-axis over that interval. A quadratic equation is a second-degree polynomial of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. The definite integral of a quadratic equation is used in various applications, such as computing areas, distances, work, and probabilities, as well as in the study of calculus and its applications. The definite integral of a quadratic equation is denoted by ∫[a, b] f(x)dx, where [a, b] represents the interval over which the integration is performed, f(x) represents the quadratic function being integrated, and dx represents the differential variable. View Solution Guide
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