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Use Definition 7.1.1, DEFINITION 7.1.1    Laplace Transform Let f be a function defined for t ≥ 0....

Use Definition 7.1.1,

DEFINITION 7.1.1    Laplace Transform
Let f be a function defined for

t ≥ 0.

Then the integralℒ{f(t)} =

∞ e−stf(t) dt
0

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

to find

ℒ{f(t)}.

(Write your answer as a function of s.)

f(t) = te8t

ℒ{f(t)} =  

   (s > 8)

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