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AP Calculus (BC) Topics
III. Integrals
B. Interpretations and properties of definite integrals.
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Definite integral as a limit of Riemann sums.
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Definite integral of the rate of change of a quantity over an interval
interpreted as the change of the quantity over the interval.
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Basic properties of definite integrals.
D. Fundamental Theorem of the Calculus.
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Use of Fundamental Theorem to evaluate definite integrals.
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Use of Fundamental Theorem to represent a particular antiderivative, and
the analytical and graphical analysis of functions so defined.
E. Applications of antidifferentiation.
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Finding specific antiderivatives using initial conditions, including applications
to motion along a line.
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