Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Complex Variables Cauchy's Integral Theorem
The value of the following complex integral, with C representing the unit circle centered at origin in the counterclockwise sense, is: \(\mathop \smallint \nolimits_C \frac{{{z^2} + 1}}{{{z^2} - 2z}}dz\)
1
8πi
2
-8πi
3
-πi
4
πi