ntegration of Functions that are the Derivatives of Analytic Functions

**Use Theorem 6 to evaluate the integral along the curve http://www.cramster.com/Answer-Board...2068750774.gif.**

**http://www.cramster.com/Answer-Board...9125005539.gif**

Theorem 6: (Integration of Functions that are the Derivatives of Analytic Functions)

Let *F(z)* be analytic in a domain *D*, Let *dF/dz* =* f(z)* in *D*. Then, if *z*1 and *z*2 are in *D*, http://www.cramster.com/Answer-Board...5375001616.gif, where the integration can be performed along any contour in D that connects *z*1 and *z*2.