- #1

- 2,169

- 190

- Homework Statement
- Dirac Delta Properties

- Relevant Equations
- $$ I = \int_{∞}^{∞}dxf(x)δ((x - x_1)(x-x_2)) = ?$$

If the question

$$ \int_{∞}^{∞}dxf(x)δ((x - x_1)) = ? $$ The answer would be ##f(x_1)##

So the delta function has two roots, I searched the web and some books but I am not sure what approach should I use here. I guess there's sometihng happens when ##x_1 = -x_2##.

So I am not sure what to do at this point.

**was**$$ \int_{∞}^{∞}dxf(x)δ((x - x_1)) = ? $$ The answer would be ##f(x_1)##

So the delta function has two roots, I searched the web and some books but I am not sure what approach should I use here. I guess there's sometihng happens when ##x_1 = -x_2##.

So I am not sure what to do at this point.

Last edited: