Introduction 1 Part 1: Introduction to Integration 7 Chapter 1: An Aerial View of the Area Problem 9 Chapter 2: Forgotten but Not Gone: Review of Algebra and Pre-Calculus 27 Chapter 3: Recent Memories: Review of Calculus I 53 Part 2: From Definite to Indefinite Integrals 73 Chapter 4: Approximating Area with Riemann Sums 75 Chapter 5: There Must Be a Better Way -- Introducing the Indefinite Integral 87 Part 3: Evaluating Indefinite Integrals 103 Chapter 6: Instant Integration: Just Add Water (And C) 105 Chapter 7: Sharpening Your Integration Moves 117 Chapter 8: Here's Looking at U-Substitution 141 Part 4: Advanced Integration Techniques 153 Chapter 9: Parting Ways: Integration by Parts 155 Chapter 10: Trig Substitution: Knowing All the (Tri)Angles 173 Chapter 11: Rational Solutions: Integration with Partial Fractions 197 Part 5: Applications of Integrals 219 Chapter 12: Forging into New Areas: Solving Area Problems 221 Chapter 13: Pump Up the Volume: Using Calculus to Solve 3-D Problems 243 Chapter 14: What's So Different about Differential Equations? 265 Part 6: Infinite Series 275 Chapter 15: Following a Sequence, Winning the Series 277 Chapter 16: Where Is This Going? Testing for Convergence and Divergence 295 Chapter 17: Dressing Up Functions with the Taylor Series 319 Part 7: The Part of Tens 341 Chapter 18: Ten "Aha!" Insights in Calculus II 343 Chapter 19: Ten Tips to Take to the Test 351 Index 357.