In order to find the integral of 1/(x*ln(x)) dx, I tried using the substitution method where u = 1/x and dv = 1/ln(x) dx . Then du = ln(x) dx. However this is where I got stuck. What would v equal? Or is their another way I should be approaching this integral in order to find if it is diverging or converging and if converging, to what value?