November 2013
Intermediate to advanced
576 pages
22h 37m
English
book
Applied Calculus 5th Edition
by Deborah Hughes-Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, David Lovelock, Douglas Quinney, Eric Connally, Guadalupe I. Lonzano, Karen R. Rhea, Selin Kalaycýoðlu, William G. McCallum, Adam H. Speigler, Brigitte Lahme, Brad G. Osgood
Content preview from Applied Calculus 5th Edition
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.
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, ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Read now
Unlock full access
More than 5,000 organizations count on O’Reilly
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.Julian F.
I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.