Try as many of the following Extra Practice Problems as you need to feel comfortable with the material. There are two ways to see the Extra Practice Problems:

You can find the Exercises at the end of each section in the textbook. Answers to the odd numbers are given in a separate section of the textbook.
You can use the Study Plan in MyLab Math. Not all problems will be available, but the Study Plan is just like the MyLab Math Homework. It will tell you immediately if you got the answer correct, and if not, it will give you advice on how to solve the problem.

Exercises 4.8 Odds Only (p. 277; Answers p. AN-23)

#1-23 (Finding Antiderivatives)
#25-69 (Finding Indefinite Integrals)

Exercises 5.1 Odds Only (p. 298; Answers p. AN-26)

#1-7 (Area)
#9-13 (Distance)
#15-17 (Average Value of a Function)

Exercises 5.2 Odds Only (p. 306; Answers p. AN-26)

#1-5 (Sigma Notation)
#11-15 (Sigma Notation)
#17 (Values of Finite Sums)
#19-31 (Values of Finite Sums)
#37-41 (Riemann Sums)
#43-49 (Limits of Riemann Sums)

Exercises 5.3 Odds Only (p. 316; Answers p. AN-26)

#1-7 (Interpreting Limits of Sums as Integrals)
#9-13 (Using the Definite Integral Rules)
#15-21 (Using Known Areas to Find Integrals)
#23-27 (Using Known Areas to Find Integrals)
#29-39 (Evaluating Definite Integrals)
#41-49 (Evaluating Definite Integrals)
#51-53 (Finding Area by Definite Integrals)
#57-61 (Finding Average Value)

Exercises 5.4 Odds Only (p. 329; Answers p. AN-26)

#1-33 (Evaluating Integrals)
#35-37 (Evaluating Integrals)
#39-43 (Derivatives of Integrals)
#45-55 (Derivatives of Integrals)
#57-63 (Area)

Exercises 5.5 Odds Only (p. 338; Answers p. AN-27)

#1-15 (Evaluating Indefinite Integrals)
#17-65 (Evaluating Indefinite Integrals)
#67-71 (Evaluating Indefinite Integrals)

Exercises 5.6 Odds Only (p. 356; Answers p. AN-27)

#1-45 (Evaluating Definite Integrals)
#49-63 (Area)
#65-73 (Area)
#75-81 (Area)
#83-85 (Area)
#87-93 (Area)
#95-103, 105 (Area)

Exercises 6.1 Odds Only (p. 363; Answers p. AN-28)

#17-19 (Volumes by the Disk Method – Revolution About the axes)
#21-29 (Volumes by the Disk Method – Revolution About the x-axis)
#31 (Volumes by the Disk Method – Revolution About a horizontal line)
#33-37 (Volumes by the Disk Method – Revolution About the y-axis)
#39 (Volumes by the Washer Method – Revolution About the x-axis)
#41-45 (Volumes by the Washer Method – Revolution About the x-axis)
#47-49 (Volumes by the Washer Method – Revolution About the y-axis)
#51 (Volumes by the Washer Method – Revolution About a vertical line)
#53-55 (Volumes of Solids of Revolution)

Exercises 6.2 Odds Only (p. 372; Answers p. AN-28)

#1-5 (Volumes by the Shell Method – Revolution About the axes)
#7-11 (Volumes by the Shell Method – Revolution About the y-axis)
#15-21 (Volumes by the Shell Method – Revolution About the x-axis)
#23-25 (Volumes by the Shell Method – Revolution About a line)
#27 (Volumes by the Shell Method – Revolution About a line)
#29 (Choosing the Disk/Washer Method or Shell Method)
#31-35 (Choosing the Disk/Washer Method or Shell Method)
#37 (Choosing the Disk/Washer Method or Shell Method)

Exercises 6.3 Odds Only (p. 379; Answers p. AN-29)

#1-15 (Arc Length)
#17-23 Part a Only (Arc Length)

Exercises 6.4 Odds Only (p. 384; Answers p. AN-29)

#1-7 Part a Only (Surface Area)
#9-11 (Surface Area)
#13-21 (Surface Area)

Exercises 8.1 Odds Only (p. 442; Answers p. AN-31)

#1-23 (Integration by Parts)
#25-29 (Integration by Parts – Using Substitution)
#31-55 (Evaluating Integrals)

Exercises 8.2 Odds Only (p. 449; Answers p. AN-31)

#1-21 (Powers of Sines and Cosines)
#23-31 (Square Roots and Trigonometric Functions)
#33-51 (Powers of Tangents and Secants)
#53-57 (Products of Sines and Cosines)
#59-63 (Products of Sines and Cosines needing Various Trigonometric Identities)
#65-39 (Assorted Integrations)

Exercises 8.3 Odds Only (p. 454; Answers p. AN-32)

#1-13 (Trigonometric Substitutions)
#15-37 (Assorted Integrations)
#39-47 (Substitution and then Trigonometric Substitutions)

Exercises 8.4 Odds Only (p. 461; Answers p. AN-32)

#1-7 (Expanding Quotients into Partial Fractions)
#9-15 (Nonrepeated Linear Factors)
#17-19 (Repeated Linear Factors)
#21-31 (Irreducible Quadratic Factors)
#33-37 (Improper Fractions)
#39-53 (Assorted Integrals)

Exercises 8.5 Odds Only (p. 467; Answers p. AN-32)

#1-25 (Using Integral Tables)

Exercises 8.6 Odds Only (p. 476; Answers p. AN-33)

#1-9 (Estimating Definite Integrals)
#11-21 (Estimating the Number of Subintervals)

Exercises 8.7 Odds Only (p. 487; Answers p. AN-33)

#1-33 (Evaluating Improper Integrals)
#35-67 (Testing for Convergence)

Exercises 9.2 Odds Only (p. 515; Answers p. AN-35)

#1-5 (Finding nth Partial Sums)
#7-13 (Series with Geometric Terms)
#15-21 (Geometric Series)
#23-29 (Repeating Decimals)
#31-37 (Using the nth-Term Test)
#39-43 (Telescoping Series)
#45-51 (Telescoping Series)
#53-75 (Convergence or Divergence)

Exercises 9.3 Odds Only (p. 522; Answers p. AN-35)

#13-19, 23-31, 35 (Convergence or Divergence)
For these exercises, determine convergence/divergence by either (1) identifying the series as a geometric series (clearly stating the value of r), a constant times a harmonic series, or a constant times a p-series (clearly stating the value of p) or (2) using the nth-Term Test for Divergence.

Exercises 9.4 Odds Only (p. 528; Answers p. A-36)

#9-15 (Limit Comparison Test)
#17, 21-33, 37-41, 45, 51-53 (Convergence or Divergence)
For these exercises, determine convergence/divergence by either (1) identifying the series as a geometric series, a constant times a harmonic series, or a constant times a p-series, (2) using the nth-Term Test for Divergence, or (3) using the Limit Comparison Test.

Exercises 9.5 Odds Only (p. 534; Answers p. AN-36)

#1-7 (Ratio Test)
#17-21, 25-37, 41-43, 57, 63 (Convergence or Divergence)
For these exercises, determine convergence/divergence by either (1) identifying the series as a geometric series, a constant times a harmonic series, or a constant times a p-series, (2) using the nth-Term Test for Divergence, (3) using the Limit Comparison Test, or (4) using the Ratio Test.

Exercises 9.6 Odds Only (p. 540; Answers p. AN-36)

#1-13 (Convergence/Divergence of Alternating Series)
#15-27, 31-35, 39-43, 47 (Absolute and Conditional Convergence)
For these exercises, determine absolute convergence/conditional convergence/divergence by any of the following: (1) identifying the series as a geometric series, a constant times a harmonic series, or a constant times a p-series, (2) using the nth-Term Test for Divergence, (3) using the Limit Comparison Test, (4) using the Ratio Test, (5) using the Alternating Series Test, or (6) using the Absolute Convergence Test.
#49-51 (Error Estimation)

Exercises 9.7 Odds Only (p. 551; Answers p. AN-37)

#1-31 (Radius and Interval of Convergence; Converge Absolutely/Conditionally)
#41-47 (Sum of a Series as a Function of x)

Exercises 9.8 Odds Only (p. 558; Answers p. AN-37)

#1-9 (Finding Taylor Polynomials)
#11-17, 21 (Finding Taylor Series at x=0 (Maclaurin Series))
#25-33 (Finding Taylor and Maclaurin Series)

Exercises 9.9 Odds Only (p. 564; Answers p. AN-37)

#1-9 (Finding Taylor Series using substitution)
#13-29 (Finding Taylor Series using power series operations)

Exercises 9.10 Odds Only (p. 572; Answers p. AN-38)

#1-9 (Taylor Series)
#11-13 (Binomial Series)

Exercises 10.3 Odds Only (p. 601; Answers p. AN-40)

#1-3 (Polar Coordinates)
#5-9 (Polar to/from Cartesian Coordinates)
#27-51 (Polar to Cartesian Equations)
#53-65 (Cartesian to Polar Equations)

Exercises 10.4 Odds Only (p. 605; Answers p. AN-40)

#1-11 (Symmetries and Polar Graphs)
#13-15 (Lemniscates)
#17-19 (Slopes of Polar Curves in the xy-Plane)
#25-27 (Limacons)

Exercises 10.5 Odds Only (p. 610; Answers p. AN-41)

#1-7 (Finding Polar Areas)
#9-17 (Finding Polar Areas)
#21-27 (Finding Lengths of Polar Curves)

Calculus II - Prof. GZ

Calculus II Webpage

MyLab Math

Lecture Videos

Section 4.8 Antiderivatives

Section 5.1 Area and Estimating with Finite Sums

Section 5.2 Sigma Notation and Limits of Finite Sums

Section 5.3 The Definite Integral

Section 5.4 The Fundamental Theorem of Calculus

Section 5.5 Indefinite Integrals and the Substitution Method

Section 5.6 Substitution and Area Between Curves

Section 6.1 Volumes Using Cross-Sections

Section 6.2 Volumes Using Cylindrical Shells

Section 6.3 Arc Length

Section 6.4 Areas of Surfaces of Revolution

Section 8.1 Integration by Parts

Section 8.2 Trigonometric Integrals

Section 8.3 Trigonometric Substitutions

Section 8.4 Integration of Rational Functions by Partial Fractions

Section 8.5 Integral Tables and Computer Algebra Systems; Miscellaneous Substitutions

Section 8.6 Numerical Integration

Section 8.7 Improper Integrals

Section 9.1 Sequences

Section 9.2 Infinite Series

Section 9.3 Integral Test

Section 9.4 The Comparison Test

Section 9.5 The Ratio and Root Tests

Section 9.6 Alternating Series Absolute and Conditional Convergence

Section 9.7 Power Series

Section 9.8 Taylor and Maclaurin Series

Section 9.9 Convergence of Taylor Series

Section 9.10 The Binomial Series

Section 10.3 Polar Coordinates

Section 10.4 Graphing Polar Coordinate Equations

Section 10.5 Areas and Lengths in Polar Coordinates

Practice Exams

Extra Practice Problems