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How does Wolfram Language deal with DiracDelta[0] in Integrate command?

Posted 8 years ago

Hi,

I'm trying to compute the following integral involving derivatives of Heaviside step function, which on integration by parts gives DiracDelta[0] which is undefined or infinite.

Integrate[f[x]D[D[HeavisideTheta[x],x],x],{x,0,2}]

But Mathematica seems to be making the term containing DiracDelta[0] as zero. I have attached the Mathematica file for a clear understanding of my query. Any help is much appreciated.

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POSTED BY: Vamsi Meesala
3 Replies
POSTED BY: Daniel Lichtblau
POSTED BY: Daniel Lichtblau
POSTED BY: Vamsi Meesala
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