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I have a large symbolic equation that I must first integrate (continuous) over a closed domain (say from 0 to 1).  I then manipulate the output (and descretize it) and eventually take an inverse fourier transform.  I tried to set up a parallel...
The problem appears when a sinusoid is multiplied by the unit step function: [mcode]g = Sin[5*tt]*UnitStep[tt];(*Continuous function*) G = FourierTransform[g, tt, omega](*FT of function*) ginv = InverseFourierTransform[G, omega, tt]// ExpToTrig //...