Section 13.4

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.

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