Tabla de Transformadas de Laplace
Función
Transformada
Dominio
Parámetros
ezt
1
s−z
s > Re(z)
z∈C
s>0
n ∈ N ∪ {0}
s>0
a∈ R
s>0
a∈ R
tn
sen(at)
cos(at)
1
√
t
n!
sn+1
a
s 2 + a2
s
s 2 + a2
r
π
s
s>0
uc (t)
e−cs
s
s>0
f (n) (t)
sn L(f )(s) − sn−1 f (0) − · · · − f (n−1) (0)
tn f (t)
(−1)n (L(f ))(n) (s)
eat f (t)
L(f )(s − a)
a∈ R
uc (t)f (t)
e−cs L(f )(s)
c>0
f (at)
1
L(f )( as )
a
a>0
f (x) dx
1
L(f )(s)
s
Rt
0
1 , t ⩾ c
uc (t) =
0 , t < c
c>0
