Chapter 10: Formulas for integrals: integrals, antiderivatives,
and the Fundamental Theorem of Calculus

 

  1. Video 10.1: The Fundamental Theorem of Calculus (FTC)
    Example 1
  2. Video 10.2: Properties definite integrals, geometric explanation of properties 3,4
    Theory
  3. Video 10.3: Indefinite integrals, three basic antiderivative formulas, two basic rules for indefinite integrals
    Examples 2-5
  4. Video 10.4: Problems based on part I of the FTC
    Examples 6-10
  5. Video 10.5: Computing definite integrals using part II of the FTC
    Examples 11-15
  6. Video 10.6: Geometric meaning of the natural logarithm, average value of a function
    Examples 16-17
  7. Video 10.7: The substitution rule for integrals
    Examples 18-21
  8. Video 10.8: Additional substitution rule problems, problem using Part I of the FTC and the chain rule
    Examples 22-24
  9. Video 10.9: Distance-velocity problems using definite integrals
    Examples 25-29