Table of Contents
APEX Calculus
Contributing Authors
Preface
Calculus I
1
Limits
2
Derivatives
3
The Graphical Behavior of Functions
4
Applications of the Derivative
5
Integration
5.1
Antiderivatives and Indefinite Integration
5.2
The Definite Integral
5.3
Riemann Sums
5.4
The Fundamental Theorem of Calculus
5.5
Substitution
6
Applications of Integration
Calculus II
Calculus III
Appendices
Calculus I
4.4
Newton’s Method
Chapter Introduction
Chapter 5
Integration
Chapter Introduction
5.1
Antiderivatives and Indefinite Integration
5.2
The Definite Integral
5.3
Riemann Sums
5.4
The Fundamental Theorem of Calculus
5.5
Substitution