- #1

- 3

- 2

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

While trying integration by parts u = [tex]x^{2}[/tex] we get du = 2xdx but can't proceed with dv = [tex]e^{-x^{2}}[/tex] because then

v = [tex]\int e^{-x^{2}}[/tex]

can't be integrated unless we use the limits.

Can anyone suggest an approach for this?

Thanks,

Niks