The integral $\int_{o}^{\infty} e^{-3t} cos(4(t-5))u(t-5) dt$ using laplace transform

Question

$$\int_{o}^{\infty} e^{-3t} cos(4(t-5))u(t-5) dt$$ I need to find the laplace transform. Do i consider it as a convolution integral or as f(t)/t and work accordingly. Thank you.

Edit: It turns out that its similar in shape to the definition of the laplace transform ,but rather than putting an s in the exponent of the e, we have a 3 so we solve it as if its an s then substitute s with 3.