Integral of e^(-Nx^2)cos(Mx) from 0 to infinity

Casio · Sep 23, 2004

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

Casio · Sep 23, 2004

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

Tide · Sep 24, 2004

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 · Sep 24, 2004

Tide said:

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 · Sep 24, 2004

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

Integral of e^(-Nx^2)cos(Mx) from 0 to infinity

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