Why wolfram doesn't plot the impulses for dirac delta function? I give wolfram a Fourier transform to solve and I get my answer like this:

but when I try to plot it using the plot command like this

It doesn't plot the impulses given by the dirac delta function

What am I doing wrong? I want a plot of the magnitude and phase.
Edit:
When I say I want a graph of the magnitude and phase, I mean something along the lines of this:



Your general question is reasonable (and significant), but the current form of "Wolfram Alpha" is not set up to respond in these terms.
Yes, there is an entirely reasonable sense in which we can ask "what multiple of a Dirac delta at point $x_o$ do we get?".
It is also true that there are some subtleties in understanding why $\int_{-\infty}^\infty e^{-2\pi ixt}dt=1\times \delta(x)$ (so to speak...) as opposed to some other multiple of $\delta$. Not to mention the problem of pointwise values of the generalized function $\delta(x)$... (This is not at all a deal-breaker problem, but it does broach the somewhat awkward idea that perhaps functions shouldn't be literally the collection of their pointwise values... which already arose with $L^p$ functions and "almost everywhere" stuff.)
I'm not a WA maven, but I suspect that there's not a canned way to make WA respond in the way you want.
