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Give FULL step by step solutions with formulas and explanation. Topic: Application of Residue theorem 1. Prove: 22 1 Res 1+ 74. Z= e3in/4 =

Give FULL step by step solutions with formulas and explanation. Topic: Application of Residue theorem

1. Prove: 22 1 Res 1+ 74. Z= e3in/4 = - - pin/4 4 2. By utilizing the lower half part of the figure below, pisny Prove that: x- dx CO 1+ x4 V2 (Hint) 2 2 Res 1+2412 = el5m/4 ) _ _1e-in/4 Res 1+24, Z = @(7/4) = 1ein/4

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