AP Calculus AB

Unit 6: Integration and Accumulation of Change

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AP Calculus AB

Unit 6: Integration and Accumulation of Change

17–20% of exam score

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A timed sectional mock on this unit

Riemann sums, the definite integral as accumulation, the Fundamental Theorem of Calculus, antiderivatives and substitution.

Key formula

\int_a^b f(x)\,dx = F(b) - F(a), \quad F' = f

What this unit covers

Riemann sums and the trapezoidal rule
Accumulation functions
Fundamental Theorem of Calculus
Antiderivatives and u-substitution

Other units in AP Calculus AB

Unit 1: Limits and Continuity
Unit 2: Differentiation: Definition and Fundamental Properties
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
Unit 4: Contextual Applications of Differentiation
Unit 5: Analytical Applications of Differentiation
Unit 7: Differential Equations
Unit 8: Applications of Integration