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I have been continuously having problems finding the Fourier transform of signals by hand using the definition. If someone could give me a step by step process for doing this it would be great. Here are some problems from my book iv'e been stuck on. I have tried to set up the integral, but I have problems trying to simplify and get to a final answer.
X(t)=abs(sin(2*pi*t))
X(t)=exp(-abs(t))
X(t)=abs(sin(2*pi*t))
X(t)=exp(-abs(t))