If we assume that {f(t)/t} exists and {f(t)} = F(s), then Use this result to find the

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If we assume that ℒ{f(t)/t} exists and ℒ{f(t)} = F(s), then

F(u)du.


Use this result to find the Laplace transform of the given function. The symbols a and k are positive constants.

(a) f(t) = sin at/t

(b) f(t) 2(1 – cos kt)/t

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