Question: If f(t) is defined... If f(t) is defined for t 2 0, then its Laplace transform F(s), also denoted ff(s) or 2[f(t)], is defined by

If f(t) is defined...

If f(t) is defined for t 2 0, then its Laplace transform F(s), also denoted ff(s) or 2[f(t)], is defined by F(s) = 2[f(t)] = e -stf ( t ) dt , for values of s for which the improper integral converges. Apply the definition above to find the Laplace transform of the following function. (Enter your answer in terms of s.) f ( t ) = 4 , if O Sts 1 0 , if t > 1 L[f(t) ] = X

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