Question: would like to prove this integration = 2*Pi

Gamma := sqrt(1-a^2)/(1-a/z)*((1/z-a)/(1-a/z))^(N-1);
int(subs(z=exp(j*w),Gamma)*Conjugate(subs(z=exp(j*w),Gamma)),w=-Pi..Pi)

would like to prove this integration = 2*Pi, however got error

int(subs(z=exp(j*w),Gamma)*subs(z=exp(-j*w),Gamma),w=-Pi..Pi) also not equal to 2*Pi

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