(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

calculate the Fourier Transform of the following function:

2. Relevant equations

x(t) = e^{-|t|}cos(2t)

3. The attempt at a solution

∫^{0}_{-∞}e^{t}((e^{2jt}+ e^{-2jt}) / 2) e^{-jωt}+ ∫^{∞}_{0}e^{-t}((e^{2jt}+ e^{-2jt}) / 2) e^{-jωt}

The first integral is easy to calculate and equals: (1/2) * (1/(1+(2-ω)j) + 1/(1+(-2-ω)j))

But how about the second integral?

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# Homework Help: Calculate the Fourier Transform

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