Integral of dirac delta function at x=0

  • Thread starter vsravani
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  • #1
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Hi

Can somebody help me with this...
Is is correct to say that, Integral(delta(0)) = 1 (limits are from -infinity to +infinity)
I dont know latex and sorry for the inconvenience in readability.

Thanks,
VS
 

Answers and Replies

  • #3
mathman
Science Advisor
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Hi

Can somebody help me with this...
Is is correct to say that, Integral(delta(0)) = 1 (limits are from -infinity to +infinity)
I dont know latex and sorry for the inconvenience in readability.

Thanks,
VS
Examine the definition of the delta function. You will see that yes is the obvious answer.
 
  • #4
279
0
Hi

Can somebody help me with this...
Is is correct to say that, Integral(delta(0)) = 1 (limits are from -infinity to +infinity)
I dont know latex and sorry for the inconvenience in readability.

Thanks,
VS
The [tex]\delta(x)[/tex] is not a function, so you can't evaluate it at [tex]x=0[/tex] and write [tex]\delta(0)[/tex]. Maybe you meant

[tex]\int_{-\infty}^{+\infty}\delta(x)dx=1[/tex]

this is correct. Instead

[tex]\int_{-\infty}^{+\infty}\delta(0)dx[/tex]

is meaningless, so in particular it's not 1.
 

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