engineering recuitment GATE EE 2023-24 Test Series Engineering Mathematics Complex Variables Residue Theorem
The value of integral \(\mathop \smallint \nolimits_C \frac{{\cos \pi {z^2}}}{{\left( {z - 1} \right)\left( {z - 2} \right)}}dz\) where C : |z| = 3 (Positively oriented) is equal to
1
2πi
2
0
3
-4πi
4
4πi