Integration Unit

PROGRESSIVE MATHEMATICS INITIATIVE® (PMI®)

Table of Contents

Chapter 1: Area Approximations
Riemann Sums
Riemann Sums with Tables
Trapezoidal Approximation
Review: Sigma Notation
Area Approximation with Sigma Notation

Chapter 2: Introduction to Integrals
The Definite Integral
Antiderivatives
Indefinite Integrals
The Fundamental Theorem of Calculus - Part II

Chapter 3: Problem Solving with Integrals
The Fundamental Theorem of Calculus - Part I
Average Values of Integrals
Mean Value Theorem for Integrals
u-Substitution
More work with u-Substitution
u-Substitution with Definite Integrals

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