Given, \(i = \sqrt { - 1} \), the value of the definite integral, \(I = \mathop \smallint \limits_0^{\pi /2} \frac{{\cos x + i\sin x}}{{\cos x - i\sin x}}dx\) is:

Given, \(i = \sqrt { - 1} \), the value of the definite integral, \(I

1.	Given, \(i = \sqrt { - 1} \), the value of the definite integral, \(I = \mathop \smallint \limits_0^{\pi /2} \frac{{\cos x + i\sin x}}{{\cos x - i\sin x}}dx\) is:
A.	1
B.	-1
C.	i
D.	-i
Answer» D. -i

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Given, \(i = \sqrt { - 1} \), the value of the definite integral, \(I = \mathop \smallint \limits_0^{\pi /2} \frac{{\cos x + i\sin x}}{{\cos x - i\sin x}}dx\) is:

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