
The sketch shows the curve y=x(5−x)y = x(5 - x)y=x(5−x) and the line y=4y = 4y=4
Find the coordinates of the points where the line intersects the curve.
Find the area of the shaded region R.
Practise Edexcel A Level Maths Integration with exam-style questions for A Level Maths. 483 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 A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 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.