Question

The area of the shaded region bounded by the curves y² = x, x = 4 and the x-axis is given by: 

Options

• `int_0^4 x  dx`

• `int_0^2 y^2  dy`

• `2int_0^4 sqrtx  dx`

• `int_0^4 sqrtx  dx`

Answer 1

`int_0^4sqrtx  dx`

Explanation:

Required area = `int_0^4 |y| dx`

= `int_0^4 |sqrtx| dx`

= `int_0^4 sqrtx  dx`