- #1
niks
- 3
- 2
I ran into an integral while working on response of a signal processing filter, it looks like:
[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
[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