# Definite Integrals of Real-Valued Functions Exercises

### Example 1

Find the integral.

where* *

### Example 2

Find the integral.

### Example 3

Find the integral.

### Example 4

Find the integral.

### Example 5

Find the integral.

where *g*(*t*) = 3*t* + 4.

### Example 6

- If and
*a*is positive, what is*a*?

### Example 7

- If and
*a*is positive, find*a*.

### Example 8

- Find
*c*given that .