Given, i = \sqrt{−1}, the value of the definite integral, I = \int ↙\stackrel{\pi \/ 2}{0}⁡\frac{\cos ⁡x + i \sin ⁡x}{\cos ⁡x−i \sin ⁡x}dx is:

GATE Civil Engineering (CE) 2015 Shift 2 Solved Paper

Question : 13 of 65

Marks: +1, -0

Given,

i = {√{−1}}

, the value of the definite integral,

I = ∫ ↙{0}↖{π \/ 2}⁡\;{\cos\;⁡x\;+\;i\ sin\;⁡x}/{\cos\;⁡x−i\ sin\;⁡x}dx

is:

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