(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex]\int[/tex] x[delta(x)-delta(x/3+4)] dx

2. Relevant equations

so I'm supposed to use this principle:

[tex]\int[/tex] f(x)delta(x-xo)dx=f(xo)

3. The attempt at a solution

So it seems simple but I just want to make sure that I'm applying the above principle correctly.

I separate the terms so the problem becomes:

[tex]\int[/tex] x[delta(x)]dx - [tex]\int[/tex] x[delta(x/3+4)]dx

Now the first term will go to zero because xo=0. The second term, I'm a little unsure. Should I transform the inside of the delta function so that delta(x/3+4) becomes delta(x+12)? Or should I transform the f(x) from x to x/3, then use that principle? Any suggestions are greatly appreciated.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Solving simple dirac delta function

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