Given \(i = \sqrt{-1}\), what will be the evaluation of the definite integral…

GATE · 2011 · CS · Computer Science & IT

Given i=−1i = \sqrt{-1}, what will be the evaluation of the definite integral ∫0π/2cos⁡x+isin⁡xcos⁡x−isin⁡xdx\int \limits_0^{\pi/2} \dfrac{\cos x +i \sin x} {\cos x - i \sin x} dx?

  1. A.

    00

  2. B.

    22

  3. C.

    −i-i

  4. D.

    ii

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