Question

Find the area of the region bounded by the graphs of the equations.

y = 5x^2 + 2,      x = 0,     x = 2,      y = 0

Answer 1

Step 1:

The function is , , and .

Let

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

.

Area of the function is

Step 2:

Solution: