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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