away from the mean you can do the math compute this integral you'll see Sigma squared is the variance which is what we already called it but in principle you know you have to calculate it verify that the name we use for Sigma squared is actually really what variance means and indeed it is now you might say why might we care about gaussians these integrals I mean we figured them out or somebody figured it about but they're not necessarily easiest but at least they can be done well there's another reason to care about them aside from