33 - Fundamental Theorem of Calculus

How does the Fundamental Theorem of Calculus connect the differential and integral calculus?

Practice

4.4 # 9,21,31,33,39

Vocabulary

Definite Integral, Limits of Integration

Study Questions

  1. What is the difference between a definite integral and an indefinite integral?
  2. Why do we say that the definite integral represents “signed area” and NOT geometric area?
  3. What does the first fundamental theorem of calculus say in your own words? (And how do you use it?)

Resources

  1. Slide Deck: Lesson-33-Fundamental-Theorem-of-Calculus