Question

The area of the region bounded by the curve y = x IxI, X-axis and the ordinates x = 2, x = –2 is ______.

Options

• 0

• `8/3`

• `16/3`

• 1

Answer 1

The area of the region bounded by the curve y = x IxI, X-axis and the ordinates x = 2, x = –2 is `16/3`.

Explanation:

Required area = `int_(-2)^2 x |x|  "d"x`

= `|int_(-2)^0 - x^2 "d"x| + int_0^2 x^2 "d"x`

= `|(-8)/3| + 8/3`

= `16/3`