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4 marksApplications of Integration

CSEC Additional Mathematics · 2012 · Paper 2 · Question 6(d)

Calculate the volume of the solid formed when the area enclosed by the curve y = x² + 2 and the x-axis, from x = 0 to x = 3, is rotated through 360° about the x-axis. [Leave your solution in terms of π].

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Other parts of this question

  1. 6(a)Evaluate ∫₁² (16 - 7x)³ dx.[4 marks]
  2. 6(b)Determine the equation of the curve.[3 marks]
  3. 6(c)Calculate the area between the curve y = 2 cos x + 3 sin x and the x-axis from x = 0 to π/3.[3 marks]

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