If Fourier transform of \( e^{-|x|} = \frac{2}{1+p^2} \), then find the fourier transform of \(t^2 e^{-|x|}. \)
(a) \(\frac{4}{1+p^2} \)
(b) \(\frac{-2}{1+p^2} \)
(c) \(\frac{2}{1+p^2} \)
(d) \(\frac{-4}{1+p^2} \)
I have been asked this question by my school teacher while I was bunking the class.
Asked question is from Fourier Transform and Convolution in portion Fourier Integral, Fourier Transforms and Integral Transforms of Engineering Mathematics