Integral Calculus

Contents

• Chapter 1. IntegralsAreas and Distances. The Definite Integral
  The Evaluation Theorem, The Fundamental Theorem of Calculus
  The Substitution Rule , Integration by Parts
  Trigonometric Integrals and Trigonometric Substitutions
  Partial Fractions, Integration using Tables and CAS
  Numerical Integration, Improper Integrals
  
• Chapter 2. Applications of IntegrationMore about Areas, Volumes, Arc Length, Parametric Curves
  Average Value of a Function (Mean Value Theorem)
  Applications to Physics and Engineering, Probability
  
• Chapter 3. Differential EquationsDifferential Equations and Separable Equations
  Directional Fields and Euler’s Method
  Exponential Growth and Decay
  
• Chapter 4. Infinite Sequences and SeriesSequences, Series, The Integral and Comparison Tests
  Other Convergence Tests, Power Series
  Representation of Functions as Power Series
  Taylor and MacLaurin Series
  

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