∫ e e 4 ( d x x ln ( x ) ) = ∫ e e 4 ( 1 x / f r a c 1 ( ln ( x ) ) ) d x {\displaystyle {\begin{aligned}\int _{e}^{e^{4}}\left({\frac {dx}{x{\sqrt {\ln(x)}}}}\right)&=\int _{e}^{e^{4}}\left({\frac {1}{x}}/frac{1}{{\sqrt {(}}\ln(x))}\right)dx\end{aligned}}}
