# Laplace transformation t^(3/2)

## Homework Statement

Just a quick question concerning a Laplace transformation...
Find the Laplace transform of the following function:
f(t)=10t3/2-e(-7t)

## The Attempt at a Solution

I wasn't sure what to do with the t3/2 so I just followed the formula for t1/2 and I got this:

(10pi(3/2))/(2s5/2)-(1/(s+7))

Is there anything wrong with this?

L{tk - 1} = $\Gamma$(k)/sk, where $\Gamma$ represents the gamma function.
$$\Gamma(z)~=~\int_0^{\infty} t^{z - 1}~e^{-t}dt$$