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7 marksIntegration II

CAPE Pure Mathematics Unit 2 · May/June 2005 · Paper 2 · Question 2(b)(i)

Express (2x + 1) / (x^2(x + 1)) in the form A/x + B/x^2 + C/(x + 1), where A, B, and C are constants.

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Other parts of this question

  1. 2(a)(i)Find dy/dx in terms of t.[4 marks]
  2. 2(a)(ii)Find the gradient of the normal to the curve at the point t = 2.[2 marks]
  3. 2(b)(ii)Hence, evaluate the integral from 1 to 2 of (2x + 1) / (x^2(x + 1)) dx.[7 marks]

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