Re: Calculating a simple integral
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- Subject: [mg131081] Re: Calculating a simple integral
- From: "djmpark" <djmpark at comcast.net>
- Date: Mon, 10 Jun 2013 04:11:03 -0400 (EDT)
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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] 1/\[Epsilon] That diverges as epsilon -> 0. Are you sure you copied the integral correctly? David Park djmpark at comcast.net http://home.comcast.net/~djmpark/index.html From: dsmirnov90 at gmail.com [mailto:dsmirnov90 at 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.
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