Question: Q3 (10 points) Let M be a positive integer. Use the residue theorem to prove that 0 M I dt = -OO + 2 +

Q3 (10 points) Let M be a positive integer. Use the residue theorem to prove that 0 M I dt = -OO + 2 + m 2 (2M - 1)(M - 1)!M! m=1 Hint: consider the usual semi circular arc, and compute the resulting sum of residues

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