# Complex Domains and Paths

• Oct 14th 2010, 08:16 PM
mathmaniac234
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!
• Oct 15th 2010, 08:31 AM
KatyCar
Would the idea of independence of path help in this situation?