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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