Question

The area bounded by the curve y = `sqrtx,` Y-axis and between the lines y = 0 and y = 3 is ______.

Options

• `2sqrt3`

• 27

• 9

• 3

Answer 1

The area bounded by the curve y = `sqrtx,` Y-axis and between the lines y = 0 and y = 3 is 9.

Explanation:

Area = `int_0^3 x.dy`

= `int_0^3 y^2 dy`

Since x = y²

= `[y^3/3]_0^3 = [3^3/3 -0] = 9`

Area = 9