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Question 100

A curve C C\,C has equation

y=3x+12x y = \frac{3x+1}{2\sqrt{x}} y=2x​3x+1​

The region enclosed between the curve, the xxx-axis and the lines x=1x = 1x=1 and x=kx = kx=k has area 8 units.

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

[5]
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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