# Math Help - Complex Analysis: cauchy's theorem

1. ## Complex Analysis: cauchy's theorem

Hello,

I have a problem with the following exercise:

Use one of the consequences of Cauchy's Theorem to evaluate

(i) $\int e^z dz$ when B:z=e^(it) (0<=t<=pi)

Can I said that B is a contour in C. The region C is simply-connected and Cauchy's theorem can be used.

So $\int e^z dz$=0

Is it right?

2. Originally Posted by rickgoz
Hello,

I have a problem with the following exercise:

Use one of the consequences of Cauchy's Theorem to evaluate

(i) $\int e^z dz$ when B:z=e^(it) (0<=t<=pi)

Can I said that B is a contour in C. The region C is simply-connected and Cauchy's theorem can be used.

So $\int e^z dz$=0

Is it right?
B is not a closed contour ....