Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Complex Variables Cauchy's Integral Theorem
Let C be the circle |z| = 3/2 in the complex plane that is oriented in the counter clockwise direction. The value of a for which \(\displaystyle\int_{C}\left(\frac{z+1}{z^{2}-3 z+2}+\frac{a}{z-1}\right) d z=0\) is
1
1
2
-1
3
2
4
-2