LAPLACE FORMULAS

L(1)

1/s

L(e^at)

1/s-a

L(t^n)=

gamma(n+1)/s^n+1

sinat

a/s²+a²

cos at

s/s²+a²

e^at -1

1/s+a

e^at t^n

gamma(n+1)/(s-a)^n+1

e^at sin bt

b/(s-a)²+b²

e^at cos bt

s-a/(s-a)² +b²

e^at sinh bt

b/(s-a)²-b²

e^at cosh bt

(s-a)/(s-a)²-b²

t

1/s²

k

k/s

t²

2/s³