Calculus II For Dummies Book

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

Part V: Advanced Topics 307

Chapter 14: Multivariable Calculus 309

Chapter 15: What's So Different about Differential Equations? 329

Part VI: The Part of Tens 343

Chapter 16: Ten "Aha!" Insights in Calculus II 345

Chapter 17: Ten Tips to Take to the Test 351

Index 355