
The diagram shows the curve with equation y=x2−9x+14y = x^2 - 9x + 14y=x2−9x+14 and the line x=ax = ax=a
Given the total area of the two shaded regions is k k\,k units2^22. Find an equation for a a\,a in terms of kkk.
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.