application-integrals [help??

Question

Answer 1

3)

Step 1:

The curve equation is  and line is  and .

Area of the shaded region is .

Observe the graph:

Upper line is .

Lower curve is .

Here and . 

.

Area of the shaded region is  sq-units.

Solution:

Area of the shaded region is sq-units.

Answer 2

4)

Step 1:

The curve equations are and .

Graph the functions and .

Shade the required region.

Observe the graph :

Region enclosed by the given curves is between and .

Step 2:

Area between the curves and and between and is 

.

Here and .

Area of the region , .

Area of the region is sq-units.

Solution:

Area of the region is sq-units.