Question

Need help with an integration. Even if someone knows what approach to use I should probably be OK

Answer 1

what is the problem?

Answer 2

seems to be very long

Answer 3

\[(2\pi a)^{-1/2} \int\limits_{-\infty}^{\infty}e^{2ik_ox}e^{-x^2/2a^2}dx\]

Answer 4

sorry my computer just froze

Answer 5

compair with the error function; \(\text{erf} (x)\)

Answer 6

ah ok. so wikipedia is explaning this to me. does this mean I need to use a taylor series expansion?

Answer 7

i dont think series expansion will help

Answer 8

oh no I see the antiderivative I need below that. I'll give it a shot now. Thanks a lot!

Answer 9

good luck