Fourier transform of the signal x(t) = sin 2πt e–t

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Fourier transform of the signal
x(t) = sin 2πt e^–t u(t) is

1. 1 1 - 1
  2 1 + j(ω - 2π) 1 + j(ω + 2π)
2. 1 1 - 1
  2j 1 + j(ω - 2π) 1 + j(ω + 2π)
3. 1 1 - 1
  2j 1 + j(ω + 2π) 1 + j(ω - 2π)
4. 1 1 - 1
  2 1 + j(ω + 2π) 1 + j(ω - 2π)

Correct Option: B