Having Trouble with Solving a Laplace Integral? Any Pointers?

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Homework Statement



I've attached an image of the question

http://i48.tinypic.com/f0t0m8.jpg

Homework Equations


The Attempt at a Solution



can't seem to make it work with the inverse - i can't implement G(s) .. any pointers on getting this solved would be great guys and girls

thanks a lot
 
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thanks a lot mate

i'll give that a look and post back
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

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