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AP Calculus BC›Unit 6: Integration and Accumulation of Change›Antiderivatives

Antiderivatives and Indefinite Integrals

An antiderivative undoes a derivative. Basic rules reverse the power, trig, exponential, and log derivatives, plus a constant of integration.

Reverse power rule
Basic trig and exponential integrals
The + C

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6Integration and Accumulation of Change

Accumulation of Change
Riemann Sums
Fundamental Theorem of Calculus
Accumulation Functions
Properties of Definite Integrals
Antiderivatives and Indefinite Integrals
u-Substitution
Integrating with Long Division and Completing the Square
Integration by Parts
Partial Fractions
Improper Integrals
Choosing an Integration Technique

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u-Substitution

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Also called: antiderivatives, indefinite integrals, basic integration rules