
The sketch shows the curve C C\,C with equation y=(x+1)(8−x)y = (x + 1)(8 - x)y=(x+1)(8−x) The maximum point of curve C C\,C is PPP. The line l l\,l passes through P P\,P and is parallel to the xxx-axis. The shaded region R R\,R is bounded by the curve CCC, the line l l\,l and the yyy-axis.
Find the area of the shaded region RRR.
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.