engineering recuitment GATE IN Test Series 2023-24 Mock Test Engineering Mathematics Complex Variables Cauchy's Integral Theorem
Evaluate \(\mathop \oint \limits_C \frac{{\cos \pi {z^2}}}{{z\left( {z - 3} \right)}}dz\) where C is the circle: |z| = 4
1
\(- \frac{4}{3}\pi i\)
2
\(- \frac{2}{3}\pi i\)
3
0
4
\(\frac{2}{3}\pi i\)