## Constructing Antiderivatives

**Integration**

**Basic Antiderivatives**

**Properties of Definite Integrals**

**Fundamental Theorem of the Calculus**

**AP Calculus (BC) Topics**

**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.

**D. Fundamental Theorem of the Calculus.**

- 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.

**E. Applications of antidifferentiation.**

- Finding specific antiderivatives using initial conditions, including applications to motion along a line.