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AP Unit 6: Integration and Accumulation of Change

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This earlier reading list remains available with its complete tasks. The current book places these resources in the following topic chapters:

Turn rates into accumulated change, connect integrals with derivatives, and choose exact or numerical integration methods.

Follow the topics below, then try the 30 unit problems before opening the separate step-by-step solutions.

Course outline · Teacher guidance

This unit includes the shared AB core explicitly inside the BC book, with BC extensions where required. Each shared topic links to its AB source.

  1. 6.1 Exploring Accumulations of Change ↗
  2. 6.2 Approximating Areas with Riemann Sums ↗
  3. 6.3 Riemann Sums, Summation Notation, and Definite Integral Notation ↗
  4. 6.4 The Fundamental Theorem of Calculus and Accumulation Functions ↗
  5. 6.5 Interpreting the Behavior of Accumulation Functions Involving Area ↗
  6. 6.6 Applying Properties of Definite Integrals ↗
  7. 6.7 The Fundamental Theorem of Calculus and Definite Integrals ↗
  8. 6.8 Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation ↗
  9. 6.9 Integrating Using Substitution ↗
  10. 6.10 Integrating Functions Using Long Division and Completing the Square ↗
  11. 6.11 Integrating Using Integration by Parts ↗
  12. 6.12 Integrating Using Linear Partial Fractions ↗
  13. 6.13 Evaluating Improper Integrals ↗
  14. 6.14 Selecting Techniques for Antidifferentiation ↗
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