\[\int\limits_0^1 {\frac{{\ln \left( {1 + x} \right)}}{x}dx} \]

\[\int\limits_0^{\frac{\pi }{4}} {{{\ln }^4}\left( {\operatorname{tg} x} \right)dx} \]

\[\int\limits_0^1 {\frac{{{{\ln }^2}\left( {1 - {x^2}} \right)}}{x}dx} \]