Denote by Log(z) the principal branch of the complex logarithm, and let +y be as in Exercise 4. Compute Log(z) dz. +y (z + i)3

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I included exercise4.

Extracted text: Denote by Log(z) the principal branch of the complex logarithm, and let +y be as in Exercise 4. Compute Log(z) dz. +y (z + i)3


Extracted text: Let p.v. z1/2 denote the principal branch of the complex square root. Compute p.v. 21/2 dz, z +i where y is parametrized by 2(t) = -i+zet, t e [0, 27].