The value of the integral ∮ ↙{{c}⁡\;{2z\;+\;5}/{\;(z−\;{1}/{2}) (z}↖{2}−4z + 5) }dz over the contour |z{{}/{}|} = 1, taken in the anti – clockwise direction, would be

Question

The value of the integral ∮ ↙{{c}⁡\;{2z\;+\;5}/{\;(z−\;{1}/{2})  (z}↖{2}−4z + 5) }dz over the contour  |z{{}/{}|}  = 1, taken in the anti – clockwise direction, would be

Examsnet · Accepted Answer

Correct Answer is : ‌48π‌i13

GATE Electrical Engineering (EE) 2016 Shift 1 Solved Paper