Velocity and Speed Solving Optimization Problems Doing Approximations Using Newton’s Method Approximating Roots Using Newton’s Method Chapter 9: Areas and Riemann Sums The Problems You’ll Work On What to Watch Out For Calculating Riemann Sums Using Left Endpoints Calculating Riemann Sums Using Right Endpoints Calculating Riemann Sums Using Midpoints Using Limits and Riemann Sums to Find Expressions for Definite Integrals Finding a Definite Integral from the Limit and Riemann Sum Form Using Limits and Riemann Sums to Evaluate Definite Integrals Chapter 10: The Fundamental Theorem of Calculus and the Net Change Theorem The Problems You’ll Work On What to Watch Out For Using the Fundamental Theorem of Calculus to Find Derivatives Working with Basic Examples of Definite Integrals Understanding Basic Indefinite Integrals Understanding the Net Change Theorem Finding the Displacement of a Particle Given the Velocity Finding the Distance Traveled by a Particle Given the Velocity Finding the Displacement of a Particle Given Acceleration Finding the Distance Traveled by a Particle Given Acceleration Chapter 11: Applications of Integration The Problems You’ll Work On What to Watch Out For Areas between Curves Finding Volumes Using Disks and Washers Finding Volume Using Cross-Sectional Slices Finding Volumes Using Cylindrical Shells Work Problems Average Value of a Function Chapter 12: Inverse Trigonometric Functions, Hyperbolic Functions, and L'Hôpital's Rule The Problems You’ll Work On What to Watch Out For Finding Derivatives Involving Inverse Trigonometric Functions Finding Antiderivatives by Using Inverse Trigonometric Functions Evaluating Hyperbolic Functions Using Their Definitions Finding Derivatives of Hyperbolic Functions Finding Antiderivatives of Hyperbolic Functions Evaluating Indeterminate Forms Using L'Hôpital's Rule Chapter 13: U-Substitution and Integration by Parts The Problems You’ll Work On What to Watch Out For Using u-Substitutions Using Integration by Parts Chapter 14: Trigonometric Integrals, Trigonometric Substitution, and Partial Fractions The Problems You’ll Work On What to Watch Out For Trigonometric Integrals Trigonometric Substitutions Finding Partial Fraction Decompositions (without Coefficients) Finding Partial Fraction Decompositions (Including Coefficients) Integrals Involving Partial Fractions Rationalizing Substitutions Chapter 15: Improper Integrals and More Approximating Techniques The Problems You’ll Work On What to Watch Out For Convergent and Divergent Improper Integrals The Comparison Test for Integrals The Trapezoid Rule Simpson’s Rule
6 Part 2: The Answers Chapter 16: Answers and Explanations
7 Index
Guide