fine laplace transform : e^-2t u(t-3)
"\\mathcal{L}_{t}\\left[e^{-2 t} u(t-3)\\right](s)\\\\\n=e^{-3(s+2)}\\left(\\mathcal{L}_{t}[u(t)](s+2)+\\int_{-3}^{0} e^{-(s+2) t} u(t) d t\\right)"
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