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Convergence et calcul de : \[\int_{0}^{1}\frac{\ln (1+t^{2})dt}{t^{2}}, \qquad \int_{0}^{\infty }\ln \left( 1+\frac{1}{t^{2}}\right) dt, \qquad \int_{1}^{\infty }\frac{\ln t}{t^{n}}dt.\]
Convergence et calcul de : \[\int_{0}^{1}\frac{\ln (1+t^{2})dt}{t^{2}}, \qquad \int_{0}^{\infty }\ln \left( 1+\frac{1}{t^{2}}\right) dt, \qquad \int_{1}^{\infty }\frac{\ln t}{t^{n}}dt.\]