GATE Mechanical Engineering (ME) 2022 Shift 2 Solved Paper

Question : 49 of 65

Marks: +1, -0

Given z = x +iy, i = √-1 C is a circle of radius 2 with the centre at the origin. If the contour C is traversed anticlockwise, then the value of the integral

\;{1}/{2π\;}∫ _{c}\;{1}/{(z−i)(z\;+\;4i)}dZ

is ________ (round off to one decimal place.)

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