Solving Laplace Transform Homework: Step-by-Step Guide

[kukumaluboy]

Homework Statement

I tried extract an s at the denominator and perform complete the square at denominator.But i feel it would be way too long to solve this problem. Gimme guide on how to tackle this problem

Homework Equations

http://www.intmath.com/Laplace-transformation/Table-laplace-transforms.php

The Attempt at a Solution

 

[gomunkul51]

Do Partial Fraction Decomposition (factor s from the denominator and complete the square for later):
L{...} = A/s + (Bs+C)/[(s+1)^2+4]
then "fit" the fractions so you can use the Laplace transform table.
you are done.

Good Luck.

 

[kukumaluboy]

Thanks for the clue!