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Question 17

A coordinate diagram shows the upward-opening curve y = x² − 8x + 12, the x- and y-axes, the vertical line x = a, and shaded regions between the curve and the x-axis.

The diagram shows the curve with equation y=x2−8x+12y = x^2 - 8x + 12y=x2−8x+12 and the line x=ax = ax=a

Given the total area of the two shaded regions is 16 units2^22. Find the exact value of aaa.

[8]
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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