Question

The value of `int_-1^1 x  |  x  |  dx` is ______.

Options

• `1/6`

• `1/3`

• `-1/6`

• 0

Answer 1

The value of `int_-1^1 x  |  x  |  dx` is 0.

Explanation:

We have

I = `int_-1^1 x  |  x  |  dx` = 0     ...[as x | x | is an odd function]