# Math Help - Complex Domains and Paths

1. ## Complex Domains and Paths

Find all possible values of

$\int_{\gamma } \frac{1}{1+z^2}dz$ where $\gamma$ is some path joining 0 to 1 which is in the domain of $f(z) = \frac{1}{1+z^2}$.

Any help would be great. Thanks!

2. Would the idea of independence of path help in this situation?