Question

`int_0^1|3x - 1|dx` equals ______.

विकल्प

• `5/6`

• `5/3`

• `10/3`

• 5

Answer 1

`int_0^1|3x - 1|dx` equals `underlinebb(5/6)`.

Explanation:

I = `-int_0^(1/3)(3x - 1)dx + int_(1/3)^1(3x - 1)dx`

= `[x - (3x^2)/2]_0^(1/3) + [(3x^2)/2 - x]_(1/3)^1`

= `1/3 - 1/6 + 3/2 - 1 - 1/6 + 1/3`

= `5/6`