College Board AP Calculus BC calculus-bc · 6

Integration and Accumulation of Change

Code: 6
Topic of: College Board AP Calculus BC calculus-bc
Course: AP Calculus BC calculus-bc
Board: College Board

Codes and titles are read by a script from College Board's published specification and have not been checked by a person. What each point covers is in the specification itself: College Board’s specification.

Points under 6

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

Topics in calculus-bc

1 Limits and Continuity
2 Differentiation: Definition and Fundamental Properties
3 Differentiation: Composite, Implicit, and Inverse Functions
4 Contextual Applications of Differentiation
5 Analytical Applications of Differentiation
6 Integration and Accumulation of Change
7 Differential Equations
8 Applications of Integration
9 Parametric Equations, Polar Coordinates, and Vector-Valued Functions
10 Infinite Sequences and Series