Calculus II For Dummies®, 2nd Edition
Calculus II For Dummies®, 2nd Edition
Calculus II For Dummies®, 2nd Edition
Published by
John Wiley & Sons, Inc.
111 River St.
Hoboken, NJ 07030-5774
www.wiley.com
Copyright © 2012 by John Wiley & Sons, Inc., Hoboken, New Jersey
Published simultaneously in Canada
No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without the prior written permission of the Publisher. Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201) 748-6008, or online at http://www.wiley.com/go/permissions.
Trademarks: Wiley, the Wiley logo, For Dummies, the Dummies Man logo, A Reference for the Rest of Us!, The Dummies Way, Dummies Daily, The Fun and Easy Way, Dummies.com, Making Everything Easier, and related trade dress are trademarks or registered trademarks of John Wiley & Sons, Inc., and/or its affiliates in the United States and other countries, and may not be used without written permission. All other trademarks are the property of their respective owners. John Wiley & Sons, Inc., is not associated with any product or vendor mentioned in this book.
Limit of Liability/Disclaimer of Warranty: The publisher and the author make no representations or warranties with respect to the accuracy or completeness of the contents of this work and specifically disclaim all warranties, including without limitation warranties of fitness for a particular purpose. No warranty may be created or extended by sales or promotional materials. The advice and strategies contained herein may not be suitable for every situation. This work is sold with the understanding that the publisher is not engaged in rendering legal, accounting, or other professional services. If professional assistance is required, the services of a competent professional person should be sought. Neither the publisher nor the author shall be liable for damages arising herefrom. The fact that an organization or Website is referred to in this work as a citation and/or a potential source of further information does not mean that the author or the publisher endorses the information the organization or Website may provide or recommendations it may make. Further, readers should be aware that Internet Websites listed in this work may have changed or disappeared between when this work was written and when it is read.
For general information on our other products and services, please contact our Customer Care Department within the U.S. at 877-762-2974, outside the U.S. at 317-572-3993, or fax 317-572-4002.
For technical support, please visit www.wiley.com/techsupport.
Wiley publishes in a variety of print and electronic formats and by print-on-demand. Some material included with standard print versions of this book may not be included in e-books or in print-on-demand. If this book refers to media such as a CD or DVD that is not included in the version you purchased, you may download this material at http://booksupport.wiley.com. For more information about Wiley products, visit www.wiley.com.
Library of Congress Control Number: 2011942768
ISBN 978-1-118-16170-8 (pbk); ISBN 978-1-118-20425-2 (ebk); ISBN 978-1-118-20424-5 (ebk); ISBN 978-1-118-20426-9 (ebk)
Manufactured in the United States of America
10 9 8 7 6 5 4 3 2 1
About the Author
Mark Zegarelli is the author of Logic For Dummies (Wiley), Basic Math & Pre-Algebra For Dummies (Wiley), and numerous books of puzzles. He holds degrees in both English and math from Rutgers University, and he lives in Long Branch, New Jersey, and San Francisco, California.
Dedication
For my brilliant and beautiful sister, Tami. You are an inspiration.
Author’s Acknowledgments
Many thanks for the editorial guidance and wisdom of Lindsay Lefevere, Stephen Clark, Chrissy Guthrie, Alissa Schwipps, Sarah Faulkner, and Jessica Smith of John Wiley & Sons, Inc. Thanks also to Technical Editors, Jeffrey A. Oaks, Eric Boucher, and Jamie Whittimore McGill. Thanks especially to my friend David Nacin, PhD, for his shrewd guidance and technical assistance.
Much love and thanks to my family: Dr. Anthony and Christine Zegarelli, Mary Lou and Alan Cary, Joe and Jasmine Cianflone, and Deseret Moctezuma-Rackham and Janet Rackham. Thanksgiving is at my place this year!
And, as always, thank you to my partner, Mark Dembrowski, for your constant wisdom, support, and love.
Publisher’s Acknowledgments
We’re proud of this book; please send us your comments at http://dummies.custhelp.com. For other comments, please contact our Customer Care Department within the U.S. at 877-762-2974, outside the U.S. at 317-572-3993, or fax 317-572-4002.
Some of the people who helped bring this book to market include the following:
Acquisitions, Editorial, and Vertical Websites
Senior Project Editors: Alissa Scwhipps, Christina Guthrie
(Previous Edition: Stephen R. Clark)
Executive Editor: Lindsay Sandman Lefevere
Copy Editor: Jessica Smith
Assistant Editor: David Lutton
Editorial Program Coordinator: Joe Niesen
Technical Editors: Eric Boucher, Jamie W. McGill
Editorial Manager: Christine Meloy Beck
Editorial Assistants: Rachelle Amick, Alexa Koschier
Cover Photos: © iStockphoto.com/ Alexander Shirokov
Cartoons: Rich Tennant (www.the5thwave.com)
Composition Services
Project Coordinator: Katherine Crocker
Layout and Graphics: Carrie A. Cesavice, Corrie Socolovitch
Proofreaders: Rebecca Denoncour, Henry Lazarek, Lauren Mandelbaum
Indexer: Potomac Indexing, LLC
Equation Setting: Marylouise Wiack
Publishing and Editorial for Consumer Dummies
Kathleen Nebenhaus, Vice President and Executive Publisher
Kristin Ferguson-Wagstaffe, Product Development Director
Ensley Eikenburg, Associate Publisher, Travel
Kelly Regan, Editorial Director, Travel
Publishing for Technology Dummies
Andy Cummings, Vice President and Publisher
Composition Services
Debbie Stailey, Director of Composition Services
3.143.17.27