Finding the Laplace Transform of a Piecewise Function

[njnear]

Homework Statement

Find the Laplace Transform of:

f(t) = {0, t < 5
t² - 10t + 31, t$$\geq5$$

Homework Equations

The Attempt at a Solution

The answer I got was:

F(s) = e^-5s (2/s³ + 6/s)

Is this correct?

 

[njnear]

Can anyone help?

 

[Dick]

Yes. It's right. You didn't really NEED help, did you?

 

[njnear]

I just wanted to make sure it was correct. My book wasn't very clear on how to do the problem, so I wasn't sure. Thanks for confirming my answer. I really appreciate it.