# Integral of dirac delta function at x=0

1. Sep 19, 2010

### vsravani

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

2. Sep 19, 2010

### JeSuisConf

Yes.

3. Sep 19, 2010

### mathman

Examine the definition of the delta function. You will see that yes is the obvious answer.

4. Sep 20, 2010

### Petr Mugver

The $$\delta(x)$$ is not a function, so you can't evaluate it at $$x=0$$ and write $$\delta(0)$$. Maybe you meant

$$\int_{-\infty}^{+\infty}\delta(x)dx=1$$

$$\int_{-\infty}^{+\infty}\delta(0)dx$$