Question

The value of `∫_0^(3"/"2)`|x| dx is ______.

Options

• `1/8`

• `9/8`

• `9/4`

• `3/4`

Answer 1

The value of `f_0^(3"/"2)`|x| dx is `bbunderline(9/8)`.

Explanation:

The integral ∫ x dx represents the area of a triangle with a base and height of `3/2`.

Using the area formula `(1/2 xx base xx height) gives 1/2 xx 3/2 xx 3/2`

= `9/8`