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The value of the integral int limits text c frac cos...

This question belongs to Engineering Maths Complex Variable
Complex Variable
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The value of the integral $$\int\limits_{\text{c}} {\frac{{\cos \left( {2\pi {\text{z}}} \right)}}{{\left( {2{\text{z}} - 1} \right)\left( {{\text{z}} - 3} \right)}}{\text{dz}}} $$     (where C is a closed curve given by |z| = 1) is

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Correct Answer: Option C
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