Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Complex Variables Cauchy's Integral Theorem
The value of the integral
\(\int_C\frac{z^{100}}{z^{101}+1}dz\)
where C is the circle of radius 2 centred at the origin taken in the anti-clockwise direction is
1
−2πi
2
2π
3
0
4
2πi