The Fourier transform X(jω) of the signal
\(\rm x(t)=\frac{t}{(1+t^2)^2}\)
is _______.
1
\(\frac{\pi}{2j}\omega e^{-|\omega|}\)
2
\(\frac{\pi}{2}\omega e^{-|\omega|}\)
3
\(\frac{\pi}{2j} e^{-|\omega|}\)
4
\(\frac{\pi}{2}e^{-|\omega|}\)
The Fourier transform X(jω) of the signal
\(\rm x(t)=\frac{t}{(1+t^2)^2}\)
is _______.