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8 marksIntegration I

CAPE Pure Mathematics Unit 1 · May/June 2002 · Paper 2 · Question 6(b)(i)

The section of the curve y = x√(x + 3), 0 ≤ x ≤ 2, is rotated about the x-axis through 360°.

Find the volume generated by direct integration.

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Other parts of this question

  1. 6(a)Using the substitution u = x + 3 or otherwise, evaluate ∫ x√(x+3) dx.[6 marks]
  2. 6(b)(ii)Find the volume generated by the trapezium rule, using five coordinates.[11 marks]

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