Given i = √-1, what will be the evaluation of the definite integral \int _{0}^{\pi \/ 2}\frac{\cos ⁡x + i \sin ⁡x}{\cos ⁡x−i \sin ⁡x}dx ?

GATE Computer Science (CS) 2011 Solved Paper

Question : 41 of 65

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Given i = √-1, what will be the evaluation of the definite integral

∫ _{0}^{π \/ 2}\;{\cos\;⁡x\;+\;i\ sin\;⁡x}/{\cos\;⁡x−i\ sin\;⁡x}dx

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