# Integral of dirac delta function at x=0

## Main Question or Discussion Point

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

mathman
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.

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

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

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