Homework Statement
I have the following problem:
Compute
\operatorname{Re} \int _\gamma \frac{\sqrt{z}}{z+1} dz,
where \gamma is the quarter-circle \{ z: |z|=1, \operatorname{Re}z \geq 0 , \operatorname{Im} z \geq 0 \} oriented from 1 to i, and \sqrt{z} denotes the principal...