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Delta function integral HELP PLEASE

  1. Sep 20, 2008 #1
    1. The problem statement, all variables and given/known data
    I want to measure this integral ( Sd(x)δ(χ-c) , where c is constant
    Thanks in advancE

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Sep 20, 2008 #2


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    Science Advisor

    Do you mean
    [itex]\int \delta(x-c)dx[/itex]?

    What is is the range of integration? Since you use the delta function, I assume you know how it is defined- immediately from the definition that integral is 1 if c is in the range of integration, 0 if not.

    If you mean
    [tex]\int_{-\infty}^x \delta(t-c)dt[/tex]
    That is the "Heaviside step function" H(x-c), equal to 0 if x< c, 1 if [itex]x\ge c[/itex].
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