The Fourier transform of x(t) = te-|t| (where ‘t’ indicates continuous time domain)
1
\(X\left( \omega \right) = \frac{4}{{{{\left( {1 + {\omega ^2}} \right)}^2}}}\)
2
\(X\left( \omega \right) = \frac{{ - j4\omega }}{{{{\left( {1 + {\omega ^2}} \right)}^2}}}\)
3
\(X\left( \omega \right) = \frac{{ - j4}}{{{{\left( {1 + {\omega ^2}} \right)}^2}}}\)
4
\(X\left( \omega \right) = \frac{{ - 4}}{{{{\left( {1 + {\omega ^2}} \right)}^2}}}\)