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CAPE Pure Mathematics Unit 1 · May/June 2006 · Paper 1 · Question 14(a)

The diagram shows the shaded area, A, bounded by the curve y = 16/x^2 and the lines y = 1/2 x - 1, x = 2 and x = 3.

Express the shaded area, A, as the difference of two definite integrals.

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Other parts of this question

  1. 14(b)Hence, show that A = 16 int_2^3 x^(-2) dx - 1/2 int_2^3 x dx + int_2^3 dx.[2 marks]
  2. 14(c)Find the value of A.[3 marks]

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