# Math Help - simple Laplace transform

1. ## simple Laplace transform

Hi guys, could you help me solve this simple problem,
what happens is that I have a little doubt with the defining intervals of the function, thanks

Find the
Laplace transform of the given function

g(t) = 0 t < 3
= t t
≥ 3

2. ## Re: simple Laplace transform

Originally Posted by frankitm

Hi guys, could you help me solve this simple problem,
what happens is that I have a little doubt with the defining intervals of the function, thanks

Find the
Laplace transform of the given function

g(t) = 0 t < 3
= t t
≥ 3
Hi frankitm!

The Laplace transform is:

$F(s) = \mathcal{L} \left\{f(t)\right\}(s)=\int_0^{\infty} e^{-st} g(t) \,dt$

Can you fill in your g(t)?