让我们考虑多项式 f(x) = -9ax^2 + 8a - 9x^3 + 8x，其中 (-2sqrt(2)/3) <= a <= (2*sqrt(2)/3). We want to find the optimal value of a such that the area bounded by the graph of the polynomial and the line y = -x + a is maximized.
我试着找出有界图形的面积。