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

2011

Given \(i = \sqrt{-1}\), what will be the evaluation of the definite integral \(\int \limits_0^{\pi/2} \dfrac{\cos x +i \sin x} {\cos x - i \sin x} dx\)?

  1. A.

    \(0\)

  2. B.

    \(2\)

  3. C.

    \(-i\)

  4. D.

    \(i\)

Attempted by 27 students.

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Correct answer: D

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