- #1
p75213
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Homework Statement
Is there an easier way of solving this rather than doing the integral?
Find the laplace transform of:
[tex]t{e^{ - t}}u(t - 1)[/tex]
Homework Equations
The Attempt at a Solution
[tex]\int_1^\infty {t{e^{ - t}}} {e^{ - st}}dt = \int_1^\infty {t{e^{ - t(1 + s)}}} dt = \frac{{{e^{ - (s + 1)}}}}{{{{(1 + s)}^2}}} + \frac{{{e^{ - (s + 1)}}}}{{1 + s}}[/tex]