engineering recuitment GATE EE 2023-24 Test Series Engineering Mathematics Complex Variables Residue Theorem
The value of the integral \(\frac{1}{{2\pi i }}\mathop \smallint \limits_C^\; \frac{{{z^2} + 1}}{{{z^2} - 1}}dz\) where z is a complex number and C is a unit circle with centre at 1 + 0j in the complex plane is __________ .
Enter numerical value using the virtual keypad. Round off where necessary.