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Re: Integrating DiracDelta to get UnitStep

  • To: mathgroup at smc.vnet.net
  • Subject: [mg91266] Re: Integrating DiracDelta to get UnitStep
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Tue, 12 Aug 2008 04:47:21 -0400 (EDT)
  • References: <g7p2tm$arr$1@smc.vnet.net>

Hi,

and

Integrate[DiracDelta[x], x]

will not help?

Regards
   Jens

CRC wrote:
> Hi:
> 
> I am a bit confused by Mathematica 6.0.3 behavior.  I expect that:
> 
> In[n]:= Integrate[DiracDelta[x], {x, -\[Infinity], t},
>   Assumptions -> Im[t] == 0]
> 
> Will produce:
> 
> Out[n]= UnitStep[t]
> 
> But instead it produces:
> 
> Out[n]= 1
> 
> However,
> 
> In[n+1]:= Plot[ Integrate[DiracDelta[x], {x, -\[Infinity], t},
>    Assumptions -> Im[t] == 0], {t, -2, 2} ]
> 
> produces the expected plot of UnitStep[t].
> 
> 
> Why doesn't the integration output the UnitStep function?
> 
> 
> Thanks for input.
> 
> 
> 


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