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Unit 6: Integration and Accumulation of Change

AP Calculus BC — Note Packet

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Key Terms

Antidifferentiation

The inverse operation of differentiation, where you're given a derivative and find the _ function.

Indefinite Integral

The result of antidifferentiation, represented by the elongated 'S' symbol, and always includes a _.

Constant of Integration (+ C)

A necessary term in indefinite integrals because the derivative of any _ is zero, representing all possible original constant values.

U-Substitution

A technique used to simplify complex integrals involving _ functions, acting as the reverse of the chain rule.

Accumulation of Change

The total _ or net change of a quantity over an interval, found by integrating its rate of change.

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