$$ x(t) = te^{-\alpha t}cos(\beta t) $$
I was not able to find $$te^{-\alpha t}$$ inside one of the Fourier tables.
I am not even sure where to begin. Do I have to begin from first principals?
2026-03-27 13:27:20.1774618040
How do I find the fourier transform of the following function?
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$$ f(t) = te^{-at} u(t) $$
$$ F(w) = \frac{1}{\sqrt{2\pi} (a+jw)^2} $$
Advanced Engineering Mathematics KA Stroud, Fourth Edition