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## Homework Statement

Find the Laplace Transform from the definition of f(t) = tcos(2t)

## Homework Equations

[tex]\int e^-^s^ttcos(2t)dt[/tex]

## The Attempt at a Solution

I started by doing parts

[tex]u = t[/tex]

[tex]du = dt[/tex]

[tex]dv = cos(2t)e^-^s^t dt[/tex]

but I get stuck on v and as far as I can tell doing parts on v won't help because neither term will be reduced when differentiated.

I'm looking for some direction on how to solve this integral.

Thanks!