# How would you solve this integral?

how would you integrate the following, seemingly simple, function.

f(x)=1/ln(x)

what i tried to do was substitution
t=ln(x)
x=et
dt=dx/x

but from here i get to an integral of $$\int$$((et)/(t))dt, no idea how to continue, tried integration in prts but keep going in cirlces, can anyone see how to do this?

CompuChip
Homework Helper
When I plug it into Mathematica, I get
$$\int$$((et)/(t))dt, no idea how to continue, tried integration in prts but keep going in cirlces, can anyone see how to do this?
$$=ln(t)+t+{{t^2}\over{(2)\;2!}}+{{t^3}\over{(3)\;3!}} + ...$$