Find Laplace Transform of 1+t - No Table Needed

claysimo
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Find the laplace transform {\cal L} (1 + t)
Without using the table.

im really having a hard time working these out please help!
 
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Surely you know the definition of the Laplace transform:

\mathcal{L}[f(t)](s) := \int_0^\infty e^{-st}f(t)dt

What have you tried?
 

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