0-3-2x-3-x-2-dx-

Question Number 77675 by TawaTawa last updated on 08/Jan/20

\int_{0}^{\infty} 3 {(2 x - \frac{3}{x})}^{2} dx

Answered by mind is power last updated on 09/Jan/20

diverge

use that {[(2 x - \frac{3}{x})]}^{2} ⩾ 1, \forall x ⩾ 4

\Rightarrow \int_{0}^{+ \infty} 3 {(2 x - \frac{3}{x})}^{2} dx ⩾ \int_{4}^{+ \infty} 3 . 4 dx = \int_{3}^{+ \infty} 12 dx = + \infty

Commented by TawaTawa last updated on 09/Jan/20

God bless you sir .