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Question 18

Sketch of a downward-opening curve C, a horizontal line l through its maximum point P, and a shaded region R bounded by the curve, the line and the y-axis.

The sketch shows the curve C C\,C with equation y=(x+1)(6−x)y = (x + 1)(6 - x)y=(x+1)(6−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.

a.

Find the coordinates of PPP.

[3]
b.

Hence find the area of the shaded region RRR.

[7]
Markscheme

Integration Questions

  1. A Level
  2. /Maths
  3. /Integration

411 exam-style questions on Edexcel A Level Maths Integration, 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. Each one has a worked solution and a mark scheme showing where the marks go.

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