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## Homework Statement

Find, from first principles, the Laplace transform of f(t) = sin

^{2}(3t)

## Homework Equations

sin

^{2}3t = 1/2(1-cost(6t))

L{SINat} = a/(s

^{2}+ a

^{2})

## The Attempt at a Solution

I already have the solution.

s/2(s

^{2}+ 36)

What I want to ask is what does the

**first principles**part mean? Is that asking me to integrate or look at the table of transforms? I don't quite understand what method I'm suppose to use for the transformation. Any light on this topic would be heavily appreciated.

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