The function I have is f(x) = x * $\exp(-x^2)$ but the problem is I don't have any domain of integration for it so i assume you take (-$\infty$,$\infty$) ... As follows I test the party of the function and find out is and odd function thus makeing the F($\omega$) = 2 * $ \int_0^\infty$ f(t) * cos($\omega$*t) dt ... Now comes my dilema , how do I solve it ? I've tried it using the propriety of Fourier transformation takeing speratly the Fourier transformation of x and of $\exp(-x^2)$ , got nothing good ...
2026-04-01 20:03:51.1775073831
Fourier transformation of this equation
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