Contents

• Introduction to Integral Calculus
  • Introduction and History of Integral Calculus
  • The Essence of Integral Calculus
  • Definite and Indefinite Integrals
  • Antiderivatives
• Indefinite Integrals
  • Properties and the General Power Rule for Integration
  • Exponential and Logarithmic Functions
  • Trigonometric Functions
  • Integration by Parts
    • Tabular Integration by Parts
• The Definite Integral
  • Introduction to Definite Integrals
  • Properties of Definite Integrals
• Plane Areas
  • Introduction to Plane Areas
  • Area Under a Curve
  • Area Between Curves
• Volumes of Solids of Revolution
  • Introduction to Solids of Revolution
  • Circular Disk Method
  • Washer Method
  • Cylindrical Shell Method
• Methods of Integration
  • Algebraic Substitution
  • Trigonometric Substitution
• Integration of Rational Functions
  • Partial Fractions
  • Distinct Linear Factors
  • Repeated Linear Factors
  • Quadratic Factors