Use Cauchy's integral formula to calculate the following integrals: dz, (z-6) 2) d e2: (z -...

 

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Use Cauchy's integral formula to calculate the following integrals: dz, (z-6) 2) d e2: (z - 1) dz where C is the circle || 5. (ii) (7 marks) Find the zeros and poles of z+4 f(z) = and determine the residues at the poles. Hence, or otherwise, evaluate the integral 22+4 where C is the circle ||= 5. dz z3 - z2 Use Cauchy's integral formula to calculate the following integrals: dz, (z-6) 2) d e2: (z - 1) dz where C is the circle || 5. (ii) (7 marks) Find the zeros and poles of z+4 f(z) = and determine the residues at the poles. Hence, or otherwise, evaluate the integral 22+4 where C is the circle ||= 5. dz z3 - z2