91Ó°ÊÓ

Use the operational properties and a known Fourier transform to compute the Fourier transform of the given function: $$ f(x)=x^{2} e^{-|x|} $$

In Exercises \(29-46\), find the Fourier transform of the given function. To simplify your computations, use known transforms and operational properties. \(f(x)=e^{-2}\) if \(|x|<1\) and 0 otherwise.