# Integrating complex exponential function

• April 7th 2010, 06:08 AM
surjective
Integrating complex exponential function
Hello,

How do I integrate the following:

$\int_{0}^{1} e^{-2\pi x \gamma i}dx$

Thanks.
• April 7th 2010, 11:25 AM
chiph588@
Quote:

Originally Posted by surjective
Hello,

How do I integrate the following:

$\int_{0}^{1} e^{-2\pi x \gamma i}dx$

Thanks.

You can integrate complex valued functions just like real valued functions.

So $\int e^{-2\pi x \gamma i}dx = \frac{i}{2\pi\gamma}e^{-2\pi x \gamma i} + C$

Can you take it from here?
• April 7th 2010, 11:53 AM
surjective
integrating complex exponential function
Hey,

Thanks for the reply.

How did you arrive at that? Could you please break it down. I have never integrated complex functions before.

Thanks a million
• April 7th 2010, 11:57 AM
chiph588@
Quote:

Originally Posted by surjective
Hey,

Thanks for the reply.

How did you arrive at that? Could you please break it down. I have never integrated complex functions before.

Thanks a million

Like I said, it's ok to apply the same methods of integration to complex valued functions as real valued functions.

With that said, what's $\int e^{ax}dx$?