AP Calculus BC Knowledge Review: Definite Integrals

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Introduce:

In this chapter, you will be introduced to the summation notation, the concept of a Riemann Sum, the Fundamental Theorems of Calculus, and the properties of definite integrals. You will also be shown techniques for evaluating definite integrals involving algebraic, trigonometric, logarithmic, and exponential functions. In addition, you will learn how to work with improper integrals. The ability to evaluate integrals is a prerequisite to doing well on the AP Calculus BC exam.

Key Ideas

Summation Notation

Riemann Sums

Properties of Definite Integrals

The First Fundamental Theorem of Calculus

The Second Fundamental Theorem of Calculus

Evaluating Definite Integrals

Improper Integrals

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