laplace transforms !!

sinkt

k/s²+k²

e^at f(t)

F(s-a)

t^n

n!/s^n+1

a (constant)

a/s

t^n f(t)

(-1)^n d^n/ds^n (basically - derivative of f(t))

e^at sin(bt)

b/(s-a)²+b²

cos kt

s/s²+k²