Use Definition 7.1.1. : Laplace Transform; Let f be a function defined for t greater than or equal to zero. Then the integral L{f(t)}= integral from 0 to infinity (e-stf(t)dt) is said to be the Laplace transform of f, provided that the integral converges. Find L{f(t)}. f(t)={-1, 0<=t<=1       and        1, t>=1 L{f(t)}= ______________________  (s>0)

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Use Definition 7.1.1. : Laplace Transform; Let f be a function defined for t greater than or equal to zero. Then the integral L{f(t)}= integral from 0 to infinity (e-stf(t)dt)

is said to be the Laplace transform of f, provided that the integral converges.

Find L{f(t)}.

f(t)={-1, 0<=t<=1       and        1, t>=1

L{f(t)}= ______________________  (s>0)

 

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