# Definite Integrals

# Definite Integrals of Non-Negative Functions Exercises

### Example 1

For each integral identify the (a) integrand, (b) lower limit of integration, (c) upper limit of integration, and (d) variable of integration.

### Example 2

### Example 3

### Example 4

Translate into symbols:

- The integral of the function
*g*(*t*) on the interval [8,9].

### Example 5

Translate into symbols:

- The integral of 6
*x*^{2}from*x*= -2 to*x*= 5.

### Example 6

Translate into symbols:

- The integral of
*y*from*y*=*a*to*y*=*b*.

### Example 7

Find the integral. (hint: graph the function in question)

- Let
*f*(*x*) = 5. Find

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### Example 8

Find the integral.

- Let
*g*(*t*) = 8-3*t*. Find .

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### Example 9

Find the integral.

- Let s(
*t*) = 9-3*t*. Find

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### Example 10

Find the integral.

- Find .