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The Laplace transform of a function \( f(t) \) is given by: \[ \mathcal{L} \{ f(t) \} = \int_0^\infty f(t) e^{-st} dt \] For the given function: \[ f(t) = (t^2 + 4t + 5)e^{4t} \] ### Step ________ _____ ________ _____ _____.
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