Integrating: [tex]/frac{exp(ikx)}{k^2+a^2}[/tex]

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Homework Help Overview

The discussion revolves around the integration of the expression involving an exponential function divided by a quadratic term, specifically the integral from negative to positive infinity. The subject area is complex analysis, particularly focusing on contour integration and residue theory.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants express uncertainty about the nature of the integral, with one suggesting it may be divergent while questioning its physical meaning. Another participant references a previous discussion about using contour integration and the residue theorem as a potential approach.

Discussion Status

The conversation is ongoing, with participants exploring different interpretations of the integral's behavior. Some guidance has been offered regarding contour integration, but there is no explicit consensus on the nature of the integral or its implications.

Contextual Notes

There is a mention of homework forum rules, emphasizing the need for participants to indicate their prior attempts or thoughts on the problem. The original poster's assumption about divergence is also under scrutiny.

VatanparvaR
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Plz, help to integrate this:

[tex]/int_{-/infinity}^{+/infinity}dk /frac{exp(ikx)}{k^2+a^2}[ /tex ][/tex]
 
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(1) Ask homework questions in the homework forum.
(2) This is a help forum, not an answer forum. You need to indicate what you've already tried, or what thoughts you've had on the problem.
 
Hurkyl said:
(1) Ask homework questions in the homework forum.
(2) This is a help forum, not an answer forum. You need to indicate what you've already tried, or what thoughts you've had on the problem.

What I think is that it is a divergent integral. But it is given in the book. So, maybe it has any physical meaning ?!
 
VatanparvaR said:
What I think is that it is a divergent integral. But it is given in the book. So, maybe it has any physical meaning ?!

I just answered a similar question yesterday. Here's the answer: "Set up a contour integral and use the residue theorem." It's not divergent.
 

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