Question

Set up the definite integral that gives the area of the region.

Answer 1

Step 1:

The curve equations are and .

Definite integral as area of the region:

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

then the area of the region bounded by the graphs of and and the vertical lines and is given by

.

Observe the graph:

The point of intersection of the graph are and .

Upper curve is .

Lower curve is .

The area of the region bounded by the curves and vertical lines and is

Solution: