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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 6: Integration and Accumulation of Change
6.1 Exploring Accumulations of Change
6.2 Approximating Areas with Riemann Sums
6.3 Riemann Sums, Summation Notation, and Definite Integral Notation
6.4 The Fundamental Theorem of Calculus and Accumulation Functions
6.5 Interpreting the Behavior of Accumulation Functions Involving Area
6.6 Applying Properties of Definite Integrals
6.7 The Fundamental Theorem of Calculus and Definite Integrals
6.8 Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation
6.9 Integrating Using Substitution
6.10 Integrating Functions Using Long Division and Completing the Square
6.11 Integrating Using Integration by Parts
6.12 Integrating Using Linear Partial Fractions
6.13 Evaluating Improper Integrals
6.14 Selecting Techniques for Antidifferentiation
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
AP/Calculus BC/Concept/Unit 6: Integration and Accumulation of Change

Unit 6: Integration and Accumulation of Change

Syllabus
2020
Section
—
Level
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Exam analysis

Most tested topics

  1. Exploring Accumulations of Change
  2. Approximating Areas with Riemann Sums
  3. Riemann Sums, Summation Notation, and Definite Integral Notation
  4. The Fundamental Theorem of Calculus and Accumulation Functions
  5. Interpreting the Behavior of Accumulation Functions Involving Area
  6. Applying Properties of Definite Integrals
  7. The Fundamental Theorem of Calculus and Definite Integrals
  8. Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation
  9. Integrating Using Substitution
  10. Integrating Functions Using Long Division and Completing the Square
  11. Integrating Using Integration by Parts
  12. Integrating Using Linear Partial Fractions
  13. Evaluating Improper Integrals
  14. Selecting Techniques for Antidifferentiation