A curve C C\,C has equation
y=32x y = \frac{3}{2\sqrt{x}} y=2x3The 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.
51 exam-style questions on Edexcel AS 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.