Quelpr
4 marksIntegration I

CAPE Pure Mathematics Unit 1 · May/June 2014 · Paper 2 · Question 6(a)(i)a)

The gradient of a curve which passes through the point (-1, -4) is given by dy/dx = 3x²-4x + 1.

Find the equation of the curve

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 6(a)(i)b)Find the coordinates of the stationary points and determine their nature.[8 marks]
  2. 6(a)(ii)Sketch the curve in (a) (i) a) above, clearly marking ALL stationary points and intercepts.[4 marks]
  3. 6(b)(i)Evaluate ∫₀³ f(x) dx.[5 marks]
  4. 6(b)(ii)Find the volume generated by rotating the area bounded by the curve in (b) (i) above, the x-axis, and the lines x = 0 and x = 2 about the x-axis.[4 marks]

More practice: the rest of this paper · more Integration I questions · all CAPE Pure Mathematics Unit 1 past papers