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Calculus 1‎ > ‎Calculus Lessons‎ > ‎

Unit 4 - Integration

Unit 4 Lessons

  • Day 48 - Antiderivatives - 03.14.16
  • Day 49 - Fundamental Theorem of Calculus - 03.15.16
  • Day 50 - Integration by Substitution - 03.16.16
  • Day 51 - Work Day - 03.17.16
  • Day 52 - Quiz 4.1 - 03.18.16
  • Day 53 - Quiz 4.2 - 03.21.16
  • Day 54 - Work Day - 03.22.16
  • Day 55 - Work Day - 03.23.16
  • Day 56 - Work Day - 03.24.16
  • Day 57 - Unit 4 Test - 03.25.16





  • The antiderivative is inverse of the derivative and has tremendous implications in calculus.
  • Concepts
    • Antiderivative
    • Area Under a Curve
    • Definite Integrals
    • Mean Value Theorem for Integrals
    • Fundamental Theorem of Calculus
    • Average Value of a Function
    • Integration by Substitution
Unit 4 Videos
  1. Antiderivative (conceptual)
  2. Sigma Notation (conceptual)
  3. Area of a Plane Region (n=2) (example problem)
  4. Area of a Plane Region (n=4) (example problem)
  5. Area of a Plane Region (n=∞) (example problem)
  6. Definite Integrals (conceptual)
  7. Mean Value Theorem for Integrals (conceptual)
  8. Fundamental Theorem of Calculus (conceptual)
  9. Average Value of a Function (conceptual)
  10. Integration by Substitution (example problem 1 of 3)
  11. Integration by Substitution (example problem 2 of 3)
  12. Integration by Substitution (example problem 3 of 3)

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