In the adjacent figure, the graphs of `y = f(x) and y = sinx` are given. The graphs of two equations intersect at `P(a, f(a),Q(T, 0) and R(2pi, 0)`. Let `S_1, S_2 and S_3` represent areas bounded by the curves `y-f(x) and y = sinx` between `x = 0 and x = a` between `x = a and x = pi` and between `x = pi and x=2pi` respectively. It is given that `S =1-sint + (t-1)cos t` `AA t le a` represents the area bounded between `y = f(x) and y =sinx`.4.`