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.

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

An easy-to-understand primer on advanced calculus topics

Confounded by curves? Perplexed by polynomials? This plain-English guide to Calculus II will set you straight! Calculus II For Dummies offers expert instruction, advice, and tips to help students get a handle on intermediate calculus topics. Best of all, it includes example problems and explanations that enhance your understanding of this complex subject.

• Calculus II 101 — get an easy-to-follow introduction to the definite integral, the Reimann sum equation, and the indefinite integral

• Strike that, reverse it — discover everything you need to know about reversing the differential process to solve a limited set of indefinite integrals using anti-differentiation

• Go big with trig — find out how to use a whole host of trig functions to integrate powers of sines and cosines, and then tangents and secants, and finally cotangents and cosecants

• Conquer the Mount Everest of Math — move on to intermediate integration, infinite series, and the math you can expect in higher-level Calculus courses

Open the book and find:

• A need-to-know refresher on Pre-Calculus and Calculus I

• The "Aha!" insights in Calculus II

• Useful test-taking tips

• The 4-1-1 on area problems

• Plain-English explanations of integrals

• Everything you need to know about the infinite series

• Help on solving area problems

• How to use calculus to solve 3-D problems

Learn to:

• Make sense of advanced calculus topics

• Get ahead of the curve with easy-to-understand explanations of complicated subject matter

• Score high in your Calculus II class