\[\begin{array}{l} \int\limits_0^1 {\frac{{\ln {{\left( x \right)}^m}}}{{1 - {x^s}}}dx} = - \frac{1}{{{s^{m + 1}}}}\Psi \left( {m,\frac{1}{s}} \right), \hfill \\ s > 0,{\text{ }}m \in \mathbb{N} \hfill \\ \end{array} \]