Anti Derivative Assistance.?

Question

I am trying to find the answer to this integral problem

9 dx
-------
xln3x

I had a previous question that was the same but the answers were incorrect...
I'm completely lost when it comes to integrating fractions, could someone give me a boost?

Answer 1

∫9 / xln3x dx
= ∫9/ln3x dln3x, mental substitution
= 9ln|ln3x| + c
-------
Ideas to save time: Use mental substitution.

Answer 2

Use substitution. Let u = ln(3x). Then du = (1/x) dx and you get

∫ 9du/u

which you should have no trouble integrating.