Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Complex Variables Cauchy's Integral Theorem
The value of the integral
\(\rm \oint \left( \frac{6z}{2z^4 - 3z^3 + 7 z^2 - 3z + 5} \right) dz\)
evaluated over a counter-clockwise circular contour in the complex plane enclosing only the pole z = i, where 𝑖 is the imaginary unit, is
1
(-1 + i) π
2
(1 + i) π
3
2(1 - i) π
4
(2 + i) π