An integral I over a counterclockwise circle C is given by I = ∮ ↙\stackrel{\:}{C}⁡ {z^{2}−1}/{z^{2} + 1}e^{z}dz. If C is defined as |z| = 3, then the value of I is

Correct Answer is : -4πi sin (1)

GATE Electronics and Communications (EC) 2017 Shift 2 Solved Paper

Question : 37 of 65

Marks: +1, -0

An integral I over a counterclockwise circle C is given by

I = ∮ ↙{C}↖{\:}⁡\;{z^{2}−1}/{z^{2} + 1}e^{z}dz.

If C is defined as |z| = 3, then the value of I is

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