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. $\frac{4}{5}i$