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