Question

problem with gaussian integral
how do u integrate for

Answer 1

\[\int\limits_{-\infty}^{\infty}x e ^{-x ^{2}}dx\] this integral i need help...

Answer 2

Let
u = -x^2
du = -2x dx

\[-\frac12\int e^udu=-\frac{e^u}{2}\]
substitute back in:
\[-\frac{e^{-x^2}}{2}\]
Evaluate this to your limits.
You should find:
\[\int\limits_{-\infty}^{\infty} xe^{-x^2}dx=0\]

Answer 3

this is integral of odd function

Answer 4

no the integral should not be zero....i have to get hermite polynomial from this...

Answer 5

this integral is always zero.

Answer 6

oh dear...thats bad news...i have to ask my professor for help...thanks anyway for your help