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Consider the line integral $I=\int_{c} (x^{2}+iy^{2})dz$, where $z=x+iy$. The line $c$ is shown in the figure below.

The value of $I$ is

  1. $\frac{1}{2}i \\ $
  2. $\frac{2}{3}i \\ $
  3. $\frac{3}{4}i \\ $
  4. $\frac{4}{5}i$
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