Inverse Laplace Transform of (1/(s+s^3))?

[rAInMo9]

Homework Statement

What is the inverse laplace transform of (1/(s+s^3))?

Homework Equations

The Attempt at a Solution

I looked it up on wolframalpha and got 1-cos(t), but I don't understand how they got that answer. I looked up a basic laplace transform chart and didn't see anything that matched; also thought of using partial fractions to simplify it but that didn't work out.

 

[Dick]

Homework Statement

What is the inverse laplace transform of (1/(s+s^3))?

Homework Equations

The Attempt at a Solution

I looked it up on wolframalpha and got 1-cos(t), but I don't understand how they got that answer. I looked up a basic laplace transform chart and didn't see anything that matched; also thought of using partial fractions to simplify it but that didn't work out.

I think you should try partial fractions again. It works out pretty easily that way. Show us what you did.

 

[rAInMo9]

Haha...I just realized I did my partial fraction decomposition wrong the first time -______- So mad...Thanks for the help!