Question

The area of the shaded region (figure) represented by the curves y = x², 0 ≤ x ≤ 2 and y-axis is given by 

Options

• `int_0^2 x^2  dx`

• `int_0^2 sqrty  dy`

• `int_0^4 x^2  dx`

• `int_0^4 sqrty  dy`

Answer 1

`int_0^4 sqrty  dy`

Explanation:

Area of y = x², 0 ≤ x ≤ 2 and Y-axis

`int_0^4 x^2  dx = int_0^4 sqrty  dy`

(`y = x^2, sqrty = x, 1st` quadrant only + ve value.)