Question: It is a complex analysis problem and I hope you use theoram to solve it Let L be the line segment from z = -p

It is a complex analysis problem and I hope you use theoram to solve it

Let L be the line segment from z = -p to z = p, where p > 1 is real. Let C'+ be the circular arc z = p traveled counterclockwise from p to -p. Let I be the contour formed from the union of L and C+. Let f be defined by f (z ) = _ 2+1 24 + 1' (a) Write an equation that connects Jr f(2) dz, S, f(2) dz, and fc+ f(z) dz. (b) Use the parameterization method to construct a real-valued integral for SC+ f(z) dz. Simplify, but do NOT attempt to calculate this new integral. (c) The sum of the residues in the upper half plane is -2/(2v2). Use this fact and the results of parts (a) and (b) to calculate . 74 + i du. Be careful not to omit any important steps in the calculation. You have to do more than just write down the

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