Teaching JKPSC Lecturership Mock Test Series 2024-25 Mathematical Science Complex Analysis Contour Integral & Theorem
The value of the integral \(\oint_C \frac{\theta^z}{z^3-1} d z\), C : a triangle with vertices at 0, \(\pm \frac{1}{4}+\frac{i}{2}\) is:
1
\(\frac{\pi i}{4}\)
2
1
3
0
4
\(\frac{3 \pi i}{4}\)