I am trying to solve this fourier problem where I have to integrate(adsbygoogle = window.adsbygoogle || []).push({});

∫f(x) * exp(-i§x) dx from -∞ to ∞ , where f(x) = exp(-sgn(x))

I tried breaking the function into two pieces where x is from -∞ to 0 and from 0 to ∞ where f(x) would then be exp(x) and exp(-x) and integrating two functions, but that didn't seem to be working. The the other way I can think of is trying to integrate

exp(-i§x) * exp(-sgn(x)), but I'm not sure if that is possible. Could anyone please give me a hint?

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# Homework Help: Fourier problem

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