# Calculus II For Dummies, 2nd Edition

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# Calculus II For Dummies, 2nd Edition

ISBN: 978-1-118-20426-9 January 2012 384 Pages

E-Book
\$12.99
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## Description

An easy-to-understand primer on advanced calculus topics

Calculus II is a prerequisite for many popular college majors, including pre-med, engineering, and physics. Calculus II For Dummies offers expert instruction, advice, and tips to help second semester calculus students get a handle on the subject and ace their exams.

It covers intermediate calculus topics in plain English, featuring in-depth coverage of integration, including substitution, integration techniques and when to use them, approximate integration, and improper integrals. This hands-on guide also covers sequences and series, with introductions to multivariable calculus, differential equations, and numerical analysis. Best of all, it includes practical exercises designed to simplify and enhance understanding of this complex subject.

• Introduction to integration
• Indefinite integrals
• Intermediate Integration topics
• Infinite series
• Practice exercises

Confounded by curves? Perplexed by polynomials? This plain-English guide to Calculus II will set you straight!

Introduction 1

Part I: Introduction to Integration 9

Chapter 1: An Aerial View of the Area Problem 11

Chapter 2: Dispelling Ghosts from the Past: A Review of Pre-Calculus and Calculus I 37

Chapter 3: From Definite to Indefinite: The Indefinite Integral 73

Part II: Indefinite Integrals 103

Chapter 4: Instant Integration: Just Add Water (And C) 105

Chapter 5: Making a Fast Switch: Variable Substitution 117

Chapter 6: Integration by Parts 135

Chapter 7: Trig Substitution: Knowing All the (Tri)Angles 151

Chapter 8: When All Else Fails: Integration with Partial Fractions 173

Part III: Intermediate Integration Topics 195

Chapter 9: Forging into New Areas: Solving Area Problems 197

Chapter 10: Pump Up the Volume: Using Calculus to Solve 3-D Problems 219

Part IV: Infinite Series 241

Chapter 11: Following a Sequence, Winning the Series 243

Chapter 12: Where Is This Going? Testing for Convergence and Divergence 261

Chapter 13: Dressing Up Functions with the Taylor Series 283