Unit 6 Topics (College Board AP® Calculus AB): Revision Note

6.1

Exploring Accumulations of Change

• Accumulation of Change

6.2

Approximating Areas with Riemann Sums

• Riemann Sums

• Trapezoidal Sums

6.3

Riemann Sums, Summation Notation, and Definite Integral Notation

• Riemann Sums

• Trapezoidal Sums

• Accumulation Functions

6.4

The Fundamental Theorem of Calculus and Accumulation Functions

• Fundamental Theorem of Calculus

• Accumulation Functions

6.5

Interpreting the Behavior of Accumulation Functions Involving Area

• Accumulation Functions

6.6

Applying Properties of Definite Integrals

• Properties of Definite Integrals

6.7

The Fundamental Theorem of Calculus and Definite Integrals

• Evaluating Definite Integrals

6.8

Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation

• Indefinite integrals

• Derivatives & Antiderivatives

• Indefinite Integral Rules

• Constant of Integration

• Integrating composite functions

6.9

Integrating Using Substitution

• Integration Using Substitution

6.10

Integrating Functions Using Long Division and Completing the Square

• Integration Using Completing the Square

• Integration Using Long Division

6.14

Selecting Techniques for Antidifferentiation

• Selecting Techniques for Integration