Fourier Transform Properties
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Let X(\omega) represent the Fourier transform of
x(t)= \begin{cases}
e^{-t} & 0\lt t\lt 1\\
0 & \text{otherwise}
\end{cases}
Express the Fourier Transforms of each of the following signals in terms of X(\omega).
Enter your answers as Python expressions in terms of X (capitalized), omega, and any
other necessary constants.
X_1(\omega)=~
X_2(\omega)=~
X_3(\omega)=~