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4 marksIntegration I

CAPE Pure Mathematics Unit 1 · May/June 2008 · Paper 2 · Question 6(b)

A curve C passes through the point (3, -1) and has gradient x² - 4x + 3 at the point (x, y) on C.

Find the equation of C.

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Other parts of this question

  1. 6(a)Use the substitution u = 3x² + 1 to find ∫ x dx / √(3x² + 1).[6 marks]
  2. 6(c)(i)Find the coordinates of A, B and C.[6 marks]
  3. 6(c)(ii)Hence find the exact value of the area of the shaded region.[9 marks]

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