Drexel dragonThe Math ForumDonate to the Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.

Math Forum » Discussions » Software » comp.soft-sys.math.mathematica

Topic: Calculating a simple integral
Replies: 10   Last Post: Jun 14, 2013 4:50 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
David Park

Posts: 1,560
Registered: 5/19/07
Re: Calculating a simple integral
Posted: Jun 10, 2013 4:03 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Doesn't this have a singularity at 2 Pi that produces non-convergence? It's
similar to:

Integrate[1/x^2, {x, \[Epsilon], \[Infinity]},
Assumptions -> \[Epsilon] > 0]


That diverges as epsilon -> 0.

Are you sure you copied the integral correctly?

David Park

From: dsmirnov90@gmail.com [mailto:dsmirnov90@gmail.com]

If there is a way to calculate with Mathematica the following integral:

in = -((-1 + Cos[kz])/(kz^2 (kr^2 + kz^2)^2 (kz^2 - 4 \[Pi]^2)^2))
Integrate[in, {kz, -Infinity, Infinity}, Assumptions -> kr > 0]

Another system calculates the same integral instantly. :)

Thanks for any suggestions.

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum 1994-2015. All Rights Reserved.