Calculus II Workbook 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 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 3Chapter 1: An Aerial View of the Area Problem 5Chapter 2: Forgotten but Not Gone: Review of Algebra and Pre-Calculus 15Chapter 3: Recent Memories: Calculus Review 37Part 2: From Definite to Indefinite Integrals 51Chapter 4: Approximating Area with Riemann Sums 53Chapter 5: The Fundamental Theorem of Calculus and Indefinite Integrals 69Part 3: Evaluating Indefinite Integrals 81Chapter 6: Instant Integration 83Chapter 7: Sharpening Your Integration Moves 91Chapter 8: Here’s Looking at u-Substitution 103Part 4: Advanced Integration Techniques 115Chapter 9: Integration by Parts 117Chapter 10: Trig Substitution 131Chapter 11: Integration with Partial Fractions 151Part 5: Applications of Integrals 167Chapter 12: Solving Area Problems 169Chapter 13: Pump up the Volume — Solving 3-D Problems 189Chapter 14: Differential Equations 211Part 6: Infinite Series 219Chapter 15: Sequences and Series 221Chapter 16: Convergent and Divergent Series 235Chapter 17: Taylor and Maclaurin Series 255Part 7: The Part of Tens 267Chapter 18: Ten Mathematicians Who Anticipated Calculus before Newton and Leibniz 269Chapter 19: 10 Skills from Pre-Calculus and Calculus I That Will Help You to Do Well in Calculus II 273Index 279

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