Consider the integral: ln[x]/x^2 from 1 to infinity. Explain why it does not converge or evaluate the integral.

Using integration by parts, I eventually got [1/3]x^3 ln[x]-[1/9]x^3 from 1 to t as t approaches infinity. I know the answer is one, but using this I'll get infinity-infinity-0+1/9 when I substitute back in. Could someone help me out?