Question

The area (in sq. units) enclosed between the curves y = x² and y = |x| is ______ 

Options

• `2/3`

• 1

• `1/6`

• `1/3`

Answer 1

The area (in sq. units) enclosed between the curves y = x² and y = |x| is `underline(1/3)`.

Explanation:

 

Required area = `2int_0^1 (x - x^2)dx`

= `2[x^2/2 - x^3/3]_0^1`

= `2(1/2 - 1/3)`

= `1/3` sq. units