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Integration

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Question 21

A coordinate diagram showing an upward-opening parabola, the x- and y-axes, a vertical line x=a, and two shaded regions between the curve and the x-axis.

The diagram shows the curve with equation y=x2−10x+21y = x^2 - 10x + 21y=x2−10x+21 and the line x=ax = ax=a

a.

Show that the curve intersects the xxx-axis at x=3x=3x=3 and x=7x=7x=7.

[2]
b.

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

[6]
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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