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Question 16

The graph shows part of the curve with equation y=36x2+3x\displaystyle y = \frac{36}{x^2} + 3xy=x236​+3x

A coordinate graph shows a curve, its normal at P(3, 13), a vertical line at x = 2, and the shaded region R between them.

P(3,13)P(3, 13)P(3,13) lies on CCC. Line l l\,l is the normal to C C\,C at PPP. Region R R\,R is bounded by the curve CCC, the line l l\,l and the line with equation x=2x = 2x=2.

Show that the area of R R\,R is 1.

[10]
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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