Improper Integral $\int_{1/e}^1 \frac{dx}{x\sqrt{\ln{(x)}}} $ I need some advice on how to evaluate it.
$$\int\limits_\frac{1}{e}^1 \frac{dx}{x\sqrt{\ln{(x)}}} $$
Thanks!

Here's a hint:
$$
\int_{1/e}^1 \frac{1}{\sqrt{\ln x}} {\huge(}\frac{dx}{x}{\huge)}.
$$
What that is hinting at is what you need to learn in order to understand substitutions.  It's all about the chain rule.  The part in the gigantic parentheses becomes $du$.
