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Question 38

The graph shows part of the curve with equation y=8x2+kx\displaystyle y = \frac{8}{x^2} + kxy=x28​+kx, where k k\,k is an integer greater than 5.

Coordinate sketch of curve C, its normal l at P, the line x = 1, and region R.

P(2,2+2k)P(2, 2 + 2k)P(2,2+2k) 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=1x = 1x=1.

Given that the area of R R\,R is 98\displaystyle \frac{9}{8}89​, find the value of kkk.

[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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