Chapter Six
ANTIDERIVATIVES AND APPLICATIONS
Contents
6.1 Analyzing Antiderivatives Graphically and Numerically
6.2 Antiderivatives and the Indefinite Integral
Finding Formulas for Antiderivatives
Antiderivatives of Periodic Functions
6.3 Using The Fundamental Theorem to Find Definite Integrals
6.4 Application: Consumer and Producer Surplus
6.5 Application: Present and Future Value
Present and Future Values of an Income Stream
6.6 Integration by Substitution
Using Substitution with Periodic Functions
Definite Integrals by Substitution
PROJECTS: Quabbin Reservoir, Distribution of Resources, Yield from an Apple Orchard
6.1 ANALYZING ANTIDERIVATIVES GRAPHICALLY AND NUMERICALLY
What is an Antiderivative?
If the derivative of F(x) is f(x), that is, if F′(x) = f(x), then we call F(x) an antiderivative of f (x). For example, the derivative of x2 is 2x, so we say that
In this section, we see how values of an antiderivative, F, are computed using the Fundamental Theorem of Calculus when the derivative, ...
Get Applied Calculus 5th Edition now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
