Re: an Integrate question

*To*: mathgroup at smc.vnet.net*Subject*: [mg58852] Re: an Integrate question*From*: "Antonio Carlos Siqueira" <acsl at dee.ufrj.br>*Date*: Thu, 21 Jul 2005 03:07:58 -0400 (EDT)*References*: <dbie3r$brm$1@smc.vnet.net><dbkkiq$s49$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Dear Mathgroup First of all thanks to Carl Woll and Andreas Dieckman for providing the answer to the integral. Digging my results a little bit I found myself with a little different integral. I am trying to calculate some electromagnetic field in conductive soil, the integral looks like this: Integrate[Exp[-m Sqrt[x2+k2]]*> Exp[I h x]/(Abs[x]+Sqrt[x2+k2]),{x,0,Infinity}] where h and m are real and k is either pure imaginary or has a negative real part. Any ideas on how to solve such integral analytically? After some tests I believe this integral is a job for NIntegrate, nevertheless it is worth asking if anyone knows any trick to transform this integral in something that can be solved analytically. Nice Regards Antonio