The graph shows part of the curve C C\,C with equation y=x3−7x2+15xy = x^3 - 7x^2 + 15xy=x3−7x2+15x
The curve has a minimum turning point at kkk. Region R R\,R is bounded by the curve CCC, xxx-axis and the line with equation x=kx = kx=k.
Show that the area of R R\,R is 994\displaystyle \frac{99}{4}499