Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Complex Analysis Contour Integral & Theorem
समाकल \(\oint_c \frac{(\log z)^3}{z^2+1} d z\), \((|z|>0,0<\arg z<2 \pi)\) का मान, जहाँ C : {z : |z - i| < 1} है, है
1
\(\frac{\pi^3}{16}\)
2
\(\frac{-\pi^2}{16}\)
3
\(\frac{\pi^4}{8} i\)
4
\(-\frac{\pi^4}{8} i\)