All AP Courses

Unit 6

AP Calculus AB Unit 6: Integration and Accumulation of Change

15–20% of the multiple-choice section · 11 topics

Accumulation of change, Riemann sums and definite integrals, the Fundamental Theorem of Calculus, antiderivatives, and integration by substitution.

Topics

  1. 6.1Exploring Accumulations of Change
  2. 6.2Approximating Areas with Riemann Sums
  3. 6.3Riemann Sums, Summation Notation, and Definite Integral Notation
  4. 6.4The Fundamental Theorem of Calculus and Accumulation Functions
  5. 6.5Interpreting the Behavior of Accumulation Functions Involving Area
  6. 6.6Applying Properties of Definite Integrals
  7. 6.7The Fundamental Theorem of Calculus and Definite Integrals
  8. 6.8Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation
  9. 6.9Integrating Using Substitution
  10. 6.10Integrating Functions Using Long Division and Completing the Square
  11. 6.14Selecting Techniques for Antidifferentiation

Unit check

11 questions drawn from every lesson in Unit 6. Each wrong answer links back to where the idea is taught.

Take the Unit 6 check