10:44 AM
@Mariah im trying to do this exercise, can you help? im getting something close to this, but not exactly
i defined $f(z) = 1/(z\ ^ 2 +1) \ ^ {n+1}$ and the integral above is equal to $2\pi i Res(f,i)$.
$Res(f,i) = \dfrac{1}{n!} lim_{z\to i}\dfrac{d \ ^ n }{d z \ ^ n}[(z-i) \ ^ {n+1} f(z)] $