Stewart: Calculus (Early Transcendentals), Fourth Edition

• Chapter 7: Techniques of Integration
  7.1 Integration by Parts
  7.2 Trigonometric Integrals
  7.3 Trig Substitution
  7.4 Partial Fractions
  7.5 Strategy for Integration
  7.7 Approximate Integration
  7.8 Improper Integrals
  
  
• Chapter 11: Infinite Sequences and Series
  
  11.1 Sequences
  11.2 Series
  11.3 Integral Test and Estimates of Sums
  11.4 Comparison Tests
  11.5 Alternating Series
  11.6 Absolute Convergence and Ratio and Root Tests
  11.7 Strategy for Testing Series
  11.8 Power Series
  11.9 Functions as Power Series
  11.10 Taylor and MacLaurin Series
  11.11 Binomial Series
  11.12 Application of Taylor Series
  
  
  
• Chapter 8: Further Applications of Integration
  
  8.1 Arc Length
  8.2 Area of Surface of Revolution
  
  
  
• Chapter 10: Parametric Equations and Polar Coordinates
  
  10.1 Curves Defined by Parametric Equations
  10.2 Tangents and Areas
  10.3 Arc Length and Surface Area
  10.4 Polar Coordinates
  10.5 Area and Lengths in Polar Coordinates
  10.6 Conic Sections