In this problem you will learn how to apply the Fourier Transformation to a simple pulsed electric field. We will see the definitions applied and some nice physics unfolds!

Problem Statement

To get the frequency-spectrum of an electric field we use the so-called Fourier-Transformation. Calculate the spectrum of the following pulse:

\[f(t)=te^{-\alpha\left|t\right|},\alpha>0\]
 

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