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1.11 H: Integration

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Question 42

A curve C C\,C has equation y=32xy = \dfrac{3}{2\sqrt{x}}y=2x​3​

The region enclosed between CCC, the xxx-axis and the lines x=1x = 1x=1 and x=kx = kx=k has area 12 square units.

Given that k>1k > 1k>1, find the value of kkk. Fully justify your answer.

[5]
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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