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∫(x^2)e^(-x^2)=(1/2)∫(e^(-x^2)

(both integrals are from 0 to ∞)

I don't even know if it's possible to integrate these functions, so it makes me think that what's interesting about the problem is that it only works with this integration limits.

I know improper integration, but don't know if prooving this "numerically" is the right path.

Thanks, I would appreciate any advice