Calculus II Workbook

Work your way through Calc 2 with crystal clear explanations and tons of practice

Calculus II Workbook For Dummies is a hands-on guide to help you practice your way to a greater understanding of Calculus II. You’ll get tons of chances to work on intermediate calculus topics such as substitution, integration techniques and when to use them, approximate integration, and improper integrals. This book is packed with practical examples, plenty of practice problems, and access to online quizzes so you’ll be ready when it’s test time. Plus, every practice problem in the book and online has a complete, step-by-step answer explanation. Great as a supplement to your textbook or a refresher before taking a standardized test like the MCAT, this Dummies workbook has what you need to succeed in this notoriously difficult subject.

• Review important concepts from Calculus I and pre-calculus
• Work through practical examples for integration, differentiation, and beyond
• Test your knowledge with practice problems and online quizzes―and follow along with step-by-step solutions
• Get the best grade you can on your Calculus II exam

Calculus II Workbook For Dummies is an essential resource for students, alone or in tandem with Calculus II For Dummies.

Part 1 Introduction to Integration

Chapter 1 An Aerial View of the Area Problem

Chapter 2 Forgotten but Not Gone: Review of Algebra and Pre-Calculus

Chapter 3 Recent Memories: Calculus Review

Part 2 From Definite to Indefinite Integrals

Chapter 4 Approximating Area with Riemann Sums

Chapter 5 The Fundamental Theorem of Calculus and Indefinite Integrals

Part 3 Evaluating Indefinite Integrals

Chapter 6 Instant Integration

Chapter 7 Sharpening Your Integration Moves

Chapter 8 Here’s Looking at u-Substitution

Part 4 Advanced Integration Techniques

Chapter 9 Integration by Parts

Chapter 10 Trig Substitution

Chapter 11 Integration with Partial Fractions

Part 5 Applications of Integrals

Chapter 12 Solving Area Problems

Chapter 13 Pump up the Volume – Solving 3-0 Problems

Chapter 14 Differential Equations

Part 6 Infinite Series

Chapter 15 Sequences and Series

Chapter 16 Convergent and Divergent Series

Chapter 17 Taylor and Maclaurin Series

Part 7 The Part of Tens

Chapter 18 Ten Mathematicians Who Anticipated Calculus before Newton and Leibniz

Chapter 19 10 Skills from Pre-Calculus and Calculus I That Will Help You to Do Well in Calculus II

Calculus II Workbook For Dummies is full of explanations, examples, and practice problems to help you build and retain your Calculus II knowledge. Review calculus and pre-calculus, master indefinite integrals, explore infinite series, and more. This resource will help you get the grade you need in your Calculus II class, or on standardized tests such as the MCAT. Perfect on its own or as a supplement to your course textbook, this workbook will turn you into a Calc 2 wizard in no time.

Inside…

• Review of Pre-Calculus and Calculus I
• Solving area problems using Riemann sums
• Trapezoid rule and Simpson’s rule
• Integrating with u-sub, integration by parts, trig sub, and partial fractions
• Finding the area between curves
• Volume and surface area of revolution
• Convergent and divergent infinite series

About the Author

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.