Final answer:
The request lacks the necessary function to apply integration by parts for the Laplace Transform. Normally, we would identify parts u and dv, use the integration by parts formula, and integrate from 0 to infinity.
Step-by-step explanation:
Unfortunately, the question seems fragmented and lacks details, it refers to integration by parts and the Laplace Transform but does not provide a function f(t) or an expression to work with. Generally, to find the Laplace Transform of a function f(t) using integration by parts, one must identify functions u(t) and dv(t) from f(t) such that their product equals the original function. The differential of u(t) will be du, and the integral of dv will be v(t). Once u(t) and dv(t) are identified, integration by parts can be applied using the formula ∫ u dv = uv - ∫ v du. The specific limits of integration for the Laplace Transform are from 0 to infinity.