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. Let f(z)= (z 2 +2z+2)(z 2 +4) z (a) Determine and classify the singularities

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. Let f(z)=(z2+2z+2)(z2+4)z (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) ∫−∞∞(x2+2x+2)(x2+4)xdx. Use your answers from 3 above. (b) ∫0∞x6+1x2dx (c) ∫02π2+cosθcosθdθ (d) ∫02π1+cos2θdθ. $3. Let $ f(z)=\frac{z}{\left(z^{2}+2 z+2\right)\left(z^{2}+4\right)} $ (a) Determine and classify the singularities of \( f$

. Let f(z)= (z 2 +2z+2)(z 2 +4) z (a) Determine and classify the singularities

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