1
Nature de : \[\int_{0}^{\infty }\sin t\sin \frac{1}{t}dt,\ \int_{0}^{\infty }\frac{e^{\sin t}}{t}dt,\ \int_{2}^{\infty }\frac{\sin t}{\sqrt{t}+\sin t}dt,\ \int_{0}^{1}\cos \ln t dt,\int_{0}^{\infty } \cos \exp t dt.\]
Nature de : \[\int_{0}^{\infty }\sin t\sin \frac{1}{t}dt,\ \int_{0}^{\infty }\frac{e^{\sin t}}{t}dt,\ \int_{2}^{\infty }\frac{\sin t}{\sqrt{t}+\sin t}dt,\ \int_{0}^{1}\cos \ln t dt,\int_{0}^{\infty } \cos \exp t dt.\]