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Calculer \[\int_{\partial \Delta_2} \frac{e^z}{(z-3)^2} dz\ ,\ \int_{\partial \Delta_2} \frac{e^z}{(z+1)} dz\quad \text{ et } \quad \int_{\partial \Delta_2} \frac{e^z}{(z+1)(z-3)^2} dz.\]
Calculer \[\int_{\partial \Delta_2} \frac{e^z}{(z-3)^2} dz\ ,\ \int_{\partial \Delta_2} \frac{e^z}{(z+1)} dz\quad \text{ et } \quad \int_{\partial \Delta_2} \frac{e^z}{(z+1)(z-3)^2} dz.\]