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Home  /  OpenStax Calculus, Volume 2 (Calc 2)  /  Chapter 1 · Integration
Section 1.1

Approximating Areas

Area under a curve via left/right/midpoint Riemann sums and sigma notation

9 lessons. Pick what you need.

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Chapter 1 · Integration
Lesson

Lesson Introducing Area Estimates and Riemann Sums

Examples

Example of How to Compute Basic Riemann Sums

Examples

Example of a Riemann Sum that Goes Negative

Examples

Examples pf Different Ways to Compute Area Estimates

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