Rozwiązanie:
[tex]$\int {\frac{1}{x\sqrt[3]{\ln x} } } \, dx =\left|\begin{array}{ccc}u=\ln x\\du=\frac{1}{x} \ dx\end{array}\right|=\int {\frac{1}{\sqrt[3]{u} } } \, du = \int {u^{-\frac{1}{3}}} \, du=\frac{3}{2} u^{\frac{2}{3} }+C=[/tex]
[tex]$=\frac{3}{2} \sqrt[3]{\ln^{2}x} +C[/tex]
