Control system response for extortion - example 2

Mathematical model of object is described by transfer function H(s)=4·(s+1). On object's input is a signal u(t)=2·sin(ω·t). Purpose of example is to designate output signal y(t). Designate Laplace transformation of output signal Y(s)=H(s)·U(s). Laplace transformations and its originals will be designated with formulas for Laplace transformations of basic functions.