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Home  /  Calculus for the AP® Course (4e)  /  Chapter 4 · The Integral
Section 4.2

The Definite Integral

Definite integral as a limit of Riemann sums, geometric interpretation as net area, basic properties.

8 lessons. Pick what you need.

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Chapter 4 · The Integral
Lesson

Lesson on The Basics of Sigma Notation

Lesson

Lesson on Sigma Notation and Larger Sums

Lesson

Lesson on a Complete Breakdown of Computing Riemann Sums with Sigma Notation

Examples

Example of Computing a Riemann Sum for n Subintervals, Finding the Area as n goes to Infinity on 4-x^2

Examples

Example of Computing a Riemann Sum for n Subintervals, Finding the Area as n goes to Infinity for x^3

Lesson

Lesson on The Basics of Definite Integrals

Lesson

Lesson on Computing Definite Integrals Using Area Formulas

Lesson

Lesson on The Average Value of a Function