Question

Area of the region bounded by curve y² = 4x and the X-axis between x = 0 and x = 1 is ______.

Options

• `2/3`

• `8/3`

• 3

• `4/3`

Answer 1

Area of the region bounded by curve y2 = 4x and the X-axis between x = 0 and x = 1 is `underlinebb((8/3))`.

Explanation:

Given,

Required Area = `2int_0^1 ydx`

= `2int_0^1 2sqrtx  dx`

= `4int_0^1 x^(1"/"2)  dx`

= `4[(x^(3"/"2)/(3"/"2))]_0^1`

= `8/3` square units