## The Fundamental Theorem of Calculus

Read this section to see the connection between derivatives and integrals. Work through practice problems 1-5.

### Practice Answers

**Practice 2: ** is one antiderivative of so

is another antiderivative of so

No matter which antiderivative of you use, the value of the definite integral

**Practice 3: ** . Since is not continuous on the interval [1.3, 3.4] so we can not use the Fundamental Theorem of Calculus. Instead, we can think of the definite integral as an area (Fig. 20).