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Question 165
58%

A curve C C\,C has equation

y=32x y = \frac{3}{2\sqrt{x}} y=2x​3​

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

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

[5]

Integration Questions

  1. A Level
  2. /Maths
  3. /Integration

Practise Edexcel A Level Maths Integration with exam-style questions for A Level Maths. 483 questions 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, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank