Calculus II For Dummies

Mark Zegarelli is a math teacher and tutor with degrees in math and English from Rutgers University. He is the author of a dozen books, including Basic Math & Pre-Algebra For Dummies, SAT Math For Dummies, and Calculus II Workbook For Dummies. Through online tutoring, he teaches mul­tiplication and beyond to preschoolers in a way that sets them up for school success while keeping the natural magic of math alive. Contact Mark at markzegarelli.com.

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