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Question 97

A curve cuts the xxx-axis at (2,0)(2, 0)(2,0) and has the gradient function

dydx=8x2 \frac{dy}{dx} = \frac{8}{x^2} dxdy​=x28​
a.

Show that the equation of the curve can be written as

y=−8x−1+C y=-8x^{-1}+C y=−8x−1+C

where C C\,C is a constant.

[2]
b.

Hence find the equation of the curve.

[2]
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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