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Unit 6: Integration and Accumulation of Change

AP Calculus AB — Note Packet

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Key Terms

Integration

The process of taking tiny, instantaneous changes and _ them all up to find a grand total; the ultimate accumulation machine.

Riemann Sums

A method to _ the area under a curve by dividing an interval into smaller pieces and summing the areas of rectangles or trapezoids.

Definite Integral

The _ of Riemann Sums, representing the exact accumulated change of a rate over an interval, or the total area under the curve.

Antidifferentiation / Indefinite Integral

The process of _ differentiation, taking a rate function back to its original quantity function.

+C

The _ constant added to indefinite integrals to account for any constant term that would differentiate to zero.

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