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3. Let f(z) = (22+2x+2)(22 +4) (a) Determine and classify the singularities of f as removable, a pole, or an essential singularity. (b) Determine

  

3. Let f(z) = (22+2x+2)(22 +4) (a) Determine and classify the singularities of f as removable, a pole, or an essential singularity. (b) Determine the residue at each singularity. 4. Evaluate each of the following integrals using the theory of residues: (a) L X da. Use your answers from 3 above. (x2+2x+2)(x+4) dx. (b) S 2 ( c ) So t (c) (d) 0 x 26+1 cos 2+ cos 0 2 de 1+cos20 do.

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