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Question 63

The graph shows part of the curve C C\,C with equation y=x3−12x2+45xy = x^3 - 12x^2 + 45xy=x3−12x2+45x

A graph of a cubic curve with x- and y-axes, a vertical boundary at k, and shaded region R.

The curve has a minimum turning point at kkk. Region R R\,R is bounded by the curve CCC, xxx-axis and the line with equation x=kx = kx=k.

Find the exact area of RRR.

[7]
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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