1.

Assuming \(i = \sqrt { - 1} \) and t is a real number, \(\mathop \smallint \limits_0^{\frac{\pi}{3}} {e^{it}}dt\) is:

A. \(\frac{{\sqrt 3 }}{2} + i\frac{1}{2}\)
B. \(\frac{{\sqrt 3 }}{2} - i\frac{1}{2}\)
C. \(\frac{1}{2} + i\frac{{\sqrt 3 }}{2}\)
D. \(\frac{1}{2} + i\left( {1 - \frac{{\sqrt 3 }}{2}} \right)\)
Answer» B. \(\frac{{\sqrt 3 }}{2} - i\frac{1}{2}\)


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