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1.11 H: Integration

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Question 93

The sketch shows the curve with equation y=x(x−2)(x−5)y = x(x - 2)(x - 5)y=x(x−2)(x−5)

The two regions enclosed between the curve and the xxx-axis are shaded.

Figure for question 8

a.

Write down the values of x x\,x where the curve crosses the xxx-axis.

[1]
b.

Find the total area of the two shaded regions.

[8]
Markscheme

1.11 H: Integration Questions

  1. A Level
  2. /Maths
  3. /1.11 H: Integration

480 exam-style questions on AQA A Level Maths 1.11 H: Integration, covering 1.11.1 Fundamental Theorem of Calculus, 1.11.2 Integrating standard functions, 1.11.3 Definite integrals and areas, 1.11.4 Integration as the limit of a sum (A-level only), 1.11.5 Integration by substitution and by parts (A-level only), 1.11.6 Integration using partial fractions (A-level only), 1.11.7 Differential equations with separable variables (A-level only), and 1.11.8 Interpreting solutions of differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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