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Calculer \[\int_{\partial \Delta_1} \frac{\sin(z)}{(z+2)^2} dz\ ,\ \int_{\partial \Delta_3} \frac{\sin(z)}{(z+2)^2} dz\quad \text{ et } \quad \int_{\partial \Delta_3} \frac{\sin(z)}{(z+1)^2(z+2)^2} dz.\]
Calculer \[\int_{\partial \Delta_1} \frac{\sin(z)}{(z+2)^2} dz\ ,\ \int_{\partial \Delta_3} \frac{\sin(z)}{(z+2)^2} dz\quad \text{ et } \quad \int_{\partial \Delta_3} \frac{\sin(z)}{(z+1)^2(z+2)^2} dz.\]