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Accumulation Functions & Definite Integrals

Using accumulation functions and definite integrals in applied contexts.

Mapped to AP College Board # CHA-4, CHA-4.D, CHA-4.D.1, CHA-4.D.2, CHA-4.E, CHA-4.E.1

Definite integrals allow us to solve problems involving the accumulation of change over an interval. Interpret the meaning of a definite integral in accumulation problems. A function defined as an integral represents an accumulation of a rate of change. The definite integral of the rate of change of a quantity over an interval gives the net change of that quantity over that interval. Determine net change using definite integrals in applied contexts. The definite integral can be used to express information about accumulation and net change in many applied contexts.