
The sketch shows the curve y=10x−x2y = 10x - x^2y=10x−x2 and the straight line y=2xy = 2xy=2x
Find the coordinates of the points where the line intersects the curve.
Find the area of the shaded region.
51 exam-style questions on Edexcel AS 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.