How could I evaluate this IMPROPER integra?

[frasifrasi]

Int from 1 to infinity of ln(X)/x^(3)

--> Any ideas on how to get started(mainly the technique)? thank you.

 

[Dick]

You would first find an indefinite integral using integration by parts.

 

[benjyk]

Let u = ln x and dv/dx = x^-3 and use integration by parts.
And see what happens as the upper bound of the integral tends to infinity.