Determine the Laplace Transform of
∫(from 0 to t) (t-τ)cos(2(t-τ))e-4τ dτ
using Laplace Transform tables.
I know the basic convolution theorem is
(f*g)(t) = ∫f(τ)g(t-τ)dτ
The Attempt at a Solution
I'm not sure if this is double convolution or if I'm missing an easy substitution.