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# Definite Integrals of Non-Negative Functions Exercises

### Example 1

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

### Example 2

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

### Example 3

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

### 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 6x2 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

### Example 8

• Let g(t) = 8 – 3t. Find .

### Example 9

Let s(t) = 9 – 3t. Find

.