Worldwide Integral Calculus 1st edition

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• Chapter 1: Anti-differentiation: the Indefinite Integral
  • 1.1: Basic Anti-Differentiation
  • 1.2: Special Trig. Integrals and Trig Substitutions
  • 1.3: Integration by Partial Fractions
  • 1.4: Integration using Hyperbolic Sine and Cosine
  
  
• Chapter 2: Continuous Sums: the Definite Integral
  • 2.1: Sums and Differences
  • 2.2: Prelude to the Definite Integral
  • 2.3: The Definite Integral
  • 2.4: The Fundamental Theorem of Calculus
  • 2.5: Improper Integrals
  • 2.6: Numerical Techniques
  
  
• Chapter 3: Applications of Integration
  • 3.1: Displacement and Distance Traveled
  • 3.2: Area in the Plane
  • 3.3: Distance Traveled in Space and Arc Length
  • 3.4: Area Swept Out and Polar Coordinates
  • 3.5: Volume
  • 3.6: Surface Area
  • 3.7: Mass and Density
  • 3.8: Centers of Mass and Moments
  • 3.9: Work and Energy
  • 3.10: Hydrostatic Pressure
  
  
• Chapter 4: Polynomials and Power Series
  • 4.1: Approximating Polynomials
  • 4.2: Approximation of Functions
  • 4.3: Error in Approximation
  • 4.4: Functions as Power Series
  • 4.5: Power Series as Functions I
  • 4.6: Power Series as Functions II
  • 4.7: Power Series Solutions
  
  
• Chapter 5: Theorems on Sequences and Series
  • 5.1: Theorems on Sequences
  • 5.2: Basic Theorems on Series
  • 5.3: Non-negative Series
  • 5.4: Series with Positive and Negative Terms
  
  
• Chapter A: Appendix A
  • A.A: An Introduction to Vectors and Motion