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ℒ{1}
(1/s)
ℒ{t^(n)}
(n!)/(s^(n+1))
ℒ{e^(at)}
1/(s-a)
ℒ{e^(at) t^(n)}
(n!)/((s-a)^(n+1))
ℒ{sin(at)}
(a)/(s^2+a^2)
ℒ{cos(at)}
(s)/(s^2+a^2)
ℒ{e^(at) sin(bt)}
(b)/((s-a)^2+b^2)
ℒ{e^(at) cos(bt)}
(s-a)/((s-a)^2+b^2)