Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Engineering Mathematics Complex Variables Cauchy's Integral Theorem
Let C denote the unit circle centered at the origin in ℂ.
then \(\frac{1}{2 \pi i} \int_C\left|1+z+z^2\right|^2 d z,\)
where the integral is taken anti-clockwise along C, equals
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