The value of the integral ∮ ↙\stackrel{\:}{c}⁡\frac{−3z + 5}{z^{2} + 4z + 5}dz where C is the circle |z| = 1 is given by,

GATE Electronics and Communications (EC) 2011 Solved Paper

Question : 35 of 65

Marks: +1, -0

The value of the integral

∮ ↙{c}↖{\:}⁡\;{−3z\;+\;5}/{z^{2} + 4z + 5}dz

where C is the circle |z| = 1 is given by,

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