Let B(c) denote the area of the region bounded from above by the graph of the curve

Question:

Let B(c) denote the area of the region bounded from above by the graph of the curve y = x(1 - x), from below by the x-axis, and from the right by the line x = c. The domain of B is the interval [0, 1]. (See Figure 14.) Given that B(1) = 1/6,
(a) Find B(0)
(b) Find BQ)
(c) As best you can, sketch a graph of B(c).