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
Practise Edexcel AS Level Maths Integration with exam-style questions for AS Level Maths. 39 questions covering 13.1 Integrating x^n, 13.2 Indefinite Integrals, 13.3 Finding Functions, 13.4 Definite Integrals, 13.5 Areas under Curves, 13.6 Areas under the x-axis, and 13.7 Areas between curves and lines, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.