AP Unit 6: Integration and Accumulation of Change
Find these readings by topic
This earlier reading list remains available with its complete tasks. The current book places these resources in the following topic chapters:
- Accumulation and definite integrals →
Connect signed rate sums, numerical approximations, and accumulation functions through the Fundamental Theorem.
- Antiderivatives and integration tools →
Select and verify integration methods, preserving variables, bounds, and domain restrictions.
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.
- 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 ↗
- 6.14 Selecting Techniques for Antidifferentiation ↗