# Math Help - ntegration of Functions that are the Derivatives of Analytic Functions

1. ## ntegration of Functions that are the Derivatives of Analytic Functions

Use Theorem 6 to evaluate the integral along the curve .

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 z1 and z2 are in D, , where the integration can be performed along any contour in D that connects z1 and z2.

2. Use $F(z) = \sinh (e^z)$.