CAPE Pure Mathematics Unit 1 · May/June 2008 · Paper 2 · Question 6(c)(ii)

The figure below (not drawn to scale) shows part of the line y + 2x = 5 and part of the curve y = x (4-x) which meet at A. The line meets Oy at B and the curve cuts Ox at C.

Hence find the exact value of the area of the shaded region.

This question uses a figure or table from the paper — you'll see it when you practise.