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Bug with LaplaceTransform?

• To: mathgroup at smc.vnet.net
• Subject: [mg83499] Bug with LaplaceTransform?
• From: chuck009 <dmilioto at comcast.com>
• Date: Wed, 21 Nov 2007 03:06:44 -0500 (EST)

The Laplace Transform integral seems not to converge for any s for the function f(x)=1/x but LaplaceTransform returns -EulerGamma-Log(s) for this function:


LaplaceTransform[1/x, x, s]
Integrate[1/(x*Exp[s*x]), {x, 0, Infinity}]

Is this a bug?

• Follow-Ups:
  • Re: Bug with LaplaceTransform?
    • From: Devendra Kapadia <dkapadia@wolfram.com>