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AP Calculus BC
Unit 6: Integration and Accumulation of Change
17–20% of exam score
Riemann sums, the Fundamental Theorem of Calculus, substitution, and BC-only techniques: integration by parts, partial fractions and improper integrals.
What this unit covers
Riemann sums and accumulation
Fundamental Theorem of Calculus
u-substitution
Integration by parts and partial fractions (BC)
Improper integrals (BC)
Other units in AP Calculus BC
- 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
- Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions
- Unit 10: Infinite Sequences and Series