• Two new sections:
  • Section 8.1 reviews basic integration formulas and the Substitution Rules combined with algebraic methods and trigonometric identities
  • Section 8.10 on probability as an application of improper integrals to making predictions for probabilistic models, with a wide range of applications in business and sciences
• Presentation of absolute convergence before considering the Ratio and Root Tests for convergence of a series, which allows the tests to be stated in their stronger forms (Theorems 13 and 14, Section 10.5)
• Updated and new art, and additional tables, supporting examples and exercises throughout
• Material has been rewritten or enhanced, for greater clarity or improved motivation. Here are some examples:  
  • Definition of continuous at x = c
  • Geometric insight into L’Hôpital’s Rule
  • Discussion of cycloid curve
  • Introduction to differentiability for functions of several variables
  • Chain Rule for paths
  • Most chapter introductory overviews
• A variety of new examples throughout, including:
  • Predicting the rise in college tuition costs
  • Predicting the decline in tuberculosis death rates
  • Minimizing production costs
  • Integration by parts
  • Log formula for the inverse hyperbolic sine function
  • Using the Integral Test
  • Finding the perimeter of an ellipse
  • Testing multivariable critical points in an exponential function
• Updated and new exercises, including:
  • Using regression analysis to predict Federal minimum wage, median home and energy prices, and global warming
  • More limits involving rational functions
  • Interpreting derivatives from graphs
  • Growth in the Gross National Product
  • Vehicular stopping distance
  • Spread of an oil spill in gulf waters
  • Estimating concentration of a drug
  • Considering endangered species
  • Prescribing drug dosage
  • Summing infinitely many areas
  • Representing functions by a geometric series
  • Unusual polar graphs
  • Finding the distance between skew lines in space
  • Finding mass and distances in our solar system

This package includes Pearson MyLab Mathematics, an online homework, tutorial, and assessment program designed to work with this text to personalize learning and improve results. With a wide range of interactive, engaging, and assignable activities, students are encouraged to actively learn and retain tough course concepts.