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Nature et calcul de : \[\int_{0}^{\infty }\ln t\ln \left( 1+\frac{a^{2}}{t^{2}}\right) dt,a>0\ ;\ \int_{0}^{\infty }\exp \left( -t^{\frac{1}{n}}\right) dt,n\in \Nn^{*}\ ;\ \int_{0}^{1}\left( \frac{1}{t}-E(\frac{1}{t})\right) dt.\]
Nature et calcul de : \[\int_{0}^{\infty }\ln t\ln \left( 1+\frac{a^{2}}{t^{2}}\right) dt,a>0\ ;\ \int_{0}^{\infty }\exp \left( -t^{\frac{1}{n}}\right) dt,n\in \Nn^{*}\ ;\ \int_{0}^{1}\left( \frac{1}{t}-E(\frac{1}{t})\right) dt.\]