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I think just slving this would be fine too

[tex] \int_{-\infty}^{\infty} x^2 e^{-x^2} dx [/tex]

what is the trick to solving this?/

Cnat integrate by parts because that would yeild Erf function which i have no been taught

I was told that there was some trick to differentiate both sides by sigma... but im not relly sure...?