GATE Questions & Answers of Cauchy’s and Euler’s equations

What is the Weightage of Cauchy’s and Euler’s equations in GATE Exam?

Total 1 Questions have been asked from Cauchy’s and Euler’s equations topic of Complex variables subject in previous GATE papers. Average marks 2.00.

The value of the integral $\underset{C}{\int}\frac{\cos\left(2\mathrm{\pi z}\right)}{\left(2z-1\right)\left(z-3\right)}dz$ (where C is a closed curve given by |z| = 1) is