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Fourier Transform of complicated product: $(1+x)^2 e^{-x^2/2}$
I calculate the Fourier Transform of $f(x)$ by $\mathbb{F}(t) =\int_{-\infty}^{\infty}e^{-x^2} \cdot e^{-ixt}dx,$ but my result is not equal to the Mathematica result. I tried to integrate by parts it, and next do an equal with the integral above.