# Thread: calculus 2 laplace transform problem

1. ## calculus 2 laplace transform problem

Can anyone help me with this?

I plug in f(t) to the laplace Transform formula, and integrate..

getting: lim t->infinity e^((t*(a-s))/(s-a) - 1

not sure what to do after that

2. let $f(x)=e^{at}$, then:

$
\left(\mathcal{L}f\right) (s) = \int_0^{\infty} f(x) e^{-st} \ dt=\int_0^{\infty}e^{-(s-a)t}\ dt = \frac{1}{s-a}\ \ , s>a
$

Now put $a=-2$, so we have:

$
\left( \mathcal{L}f \right) (s) = \frac{1}{s+2}
$

RonL