Question

Set up a definite integral that yields the area of the region. (Do not evaluate the integral.)

f (x) = 5

Answer 1

Step 1:

The function is .

Definite integral as area of the region:

If is continuous and non-negative on the closed interval ,

then the area of the region bounded by the graph , the -axis and the vertical lines and is given by

.

Observe the graph:

Here , to .

The area of the region bounded by the graph , the -axis and the vertical lines and is

Solution: