1. Use the theory of residues to evaluate the following real, definite integrals: a) 2 2...

 

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1. Use the theory of residues to evaluate the following real, definite integrals: a) 2 2 1 13+5 sin(0) b) do; Hint: integrate on the unit circle z = exp(i0), dz = izde 2+1+5dx; Hint: find the residue in the upper half plane. 2 c) dx 1. Use the theory of residues to evaluate the following real, definite integrals: a) 2 2 1 13+5 sin(0) b) do; Hint: integrate on the unit circle z = exp(i0), dz = izde 2+1+5dx; Hint: find the residue in the upper half plane. 2 c) dx

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a To evaluate the integral integral02pi 113 5sintheta dtheta using the theory of residues we consider the function fz 113 5sinz and integrate it along ... View the full answer