The Fundamental Theorem of Calculus

In this chapter, we have examined how to estimate the change in a function from its derivative. Using a table of values of the derivative or the derivative of a function itself, we have estimated how the original function changes. This connection involves area and antiderivatives. In this section, we make this more concrete by introducing the Fundamental Theorem of Calculus. This useful theorem allows us to calculate the value of a definite integral using the antiderivative of the integrand.

Read in Section 13.4

• How do you calculate the total change of a quantity exactly?
• What is the Fundamental Theorem of Calculus?
• Handout: Fundamental Theorem of Calculus Example
• Handout: Area of Enclosed Region

Section 13.4 Workbook (PDF) – 9/5/19

Watch Video

Do Homework for Section 13.4