GATE Electrical 2017 Set 1 | Question: 28

Question

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

• A. $\frac{1}{2}i \\ $
• B. $\frac{2}{3}i \\ $
• C. $\frac{3}{4}i \\ $
• D. $\frac{4}{5}i$