Interate the below fucntion from 0 to infinite please

[Casio]

e^(-Nx^2)cos(Mx) dx = ??? (M,N are const)
Please help. Thanks.

[Casio]

:biggrin: I won't change anything in the above post before reading your posts :wink:

[Tide]

Are you sure the limits aren't from negative infinity to positive infinity? Otherwise, you will end up with a complex error function (real part).

[Casio]

Are you sure the limits aren't from negative infinity to positive infinity? Otherwise, you will end up with a complex error function (real part).
I am sure, I check carefully, I aldready tried, its over 6 and a half pages but unable to get the valeu, you can check it yourself or you want to see my part ?

[Tide]

This is what I get:
Re \sqrt {\frac {\pi}{4m}} e^{i \frac {n^2}{4m}} \left( 1 + erf \left( \frac {im}{2\sqrt m} \right) \right)