Multiple choice

Assuming i = $\sqrt{-1}$ and t is a real number, $\int\limits_0^\frac{x}{3}e^{it}dt$is

  1. $\frac{\sqrt{3}}{2}+i\frac{1}{2}$
  2. $\frac{\sqrt{3}}{2}-i\frac{1}{2}$
  3. $\frac{1}{2}+i\frac{\sqrt{3}}{2}$
  4. $\frac{1}{2}+i\bigg(1-\frac{\sqrt{3}}{2}\bigg)$
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