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Find the Laplace transform of the given function: f(t)=(t-3)u2(t)-(t-2)u3(t), where uc(t) denotes the Heaviside function, which...

Find the Laplace transform of the given function: f(t)=(t-3)u2(t)-(t-2)u3(t),

where uc(t) denotes the Heaviside function, which is 0 for t<c and 1 for t≥c.

Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n).

L{f(t)}= _________________ , s>0
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