Constructing Antiderivatives
Integration
Basic Antiderivatives
Properties of Definite Integrals
Fundamental Theorem of the Calculus
Basic Antiderivatives
Properties of Definite Integrals
Fundamental Theorem of the Calculus
AP Calculus (BC) Topics
III. Integrals
B. Interpretations and properties of definite integrals.
III. Integrals
B. Interpretations and properties of definite integrals.
- Definite integral as a limit of Riemann sums.
- Definite integral of the rate of change of a quantity over an interval interpreted as the change of the quantity over the interval.
- Basic properties of definite integrals.
- Use of Fundamental Theorem to evaluate definite integrals.
- Use of Fundamental Theorem to represent a particular antiderivative, and the analytical and graphical analysis of functions so defined.
- Finding specific antiderivatives using initial conditions, including applications to motion along a line.