to accompany
ROGAWSKI’S CALCULUS
for AP*
Early Transcendentals
Second Edition
Jon Rogawski Ray Cannon
by
Brian Bradie, Roger Lipsett, Greg Dresden,
Jennifer Bowen, Randall Paul
, * AP is a trademark registered and/or owned by the College Board, which was not involved in
the publication of and does not endorse this product.
© 2012 by W.H. Freeman and Company
ISBN-13: 978-1-4292-8626-8
ISBN-10: 1-4292-8626-1
All rights reserved.
Printed in the United States of America
First Printing
W.H. Freeman and Company
41 Madison Avenue
New York, NY 10010
Houndmills, Basingstoke RG21 6XS, England
www.whfreeman.com
, TABLE OF CONTENTS
Chapter 1 Precalculus Review 1
Chapter 2 Limits 75
Preparing for the AP Examination AP-2
Chapter 3 Differentiation 183
Preparing for the AP Examination AP-3
Chapter 4 Applications of the Derivative 355
Preparing for the AP Examination AP-4
Chapter 5 The Integral 545
Preparing for the AP Examination AP-5
Chapter 6 Applications of the Integral 687
Preparing for the AP Examination AP-6
Chapter 7 Techniques of Integration 781
Preparing for the AP Examination AP-7
Chapter 8 Further Applications 987
Preparing for the AP Examination AP-8
Chapter 9 Introduction to Differential Equations 1075
Preparing for the AP Examination AP-9
Chapter 10 Infinite Series 1171
Preparing for the AP Examination AP-10
Chapter 11 Parametric Equations, Polar Coordinates,
and Vector Functions 1347
Preparing for the AP Examination AP-11
Chapter 12 Differentiation in Several Variables 1505
,