How Do You Solve This Challenging Integral Puzzle?

[54stickers]

I have an integral in my math text that I cannot seem to tackle, help would be appreciated. thanks! I am not really sure where to start.

$\int^{1}_{0}\frac{dx}{\sqrt{log(\frac{1}{x})}}$

 

[phyzguy]

Try the substitution $$u = \sqrt{Log(\frac{1}{x})}$$

 

[AlephZero]

Before you substitute anything, remember that $\log(1/x) = - \log x$.

 

[54stickers]

The substitution worked perfectly, Thanks!

I am going to pinch myself for not trying that earlier.