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並前往https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/laplace-transform-of-l-t

Laplace transform of t: L{t} (video) | Khan Academy

Why use the integral? Can't we use the derivative rule L{f'} = s(L{f}) - f(0)? Let f = t, then f' = 1 and L{1 ...

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