Integral of plane wave equation

[redtree]

What is the integral for the following equation

(e$$^{}ikx$$)/x

 

[CompuChip]

Please formulate carefully. Integral over k or x? Between what limits?

 

[redtree]

k is a constant. x a variable.

I figured out the answer. It's the imaginary argument of the exponential integral.

 

[CompuChip]

Glad you figured it out, I'm still guessing at what you mean
For I don't see an integral and if I add one, it doesn't evaluate to k x.

 

[redtree]

Sorry Chip, but instead of writing the sign for integral I simply stated that I was looking for the integral. My assumption was that you'd understand what that implied, i.e.,

$$\int$$(e$$^{}ikx$$)/x dx

where k is a constant.

The answer is can be found at the following:

http://en.wikipedia.org/wiki/Exponential_integral

under the subheading "Exponential integral of imaginary argument"

Best