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3 marksApplications of Integration

CSEC Additional Mathematics · 2014 · Paper 2 · Question 6(c)(ii)

A curve passes through the point P (2, -5) and is such that dy/dx = 6x² - 1.

Find the area of the finite region bounded by the curve, the x-axis, the line x = 3 and the line x = 4.

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Other parts of this question

  1. 6(a)Evaluate ∫₂⁴ x (x² - 2) dx.[4 marks]
  2. 6(b)Evaluate ∫₀^(π/3) (4 cos x + 2 sin x) dx, leaving your answer in surd form.[4 marks]
  3. 6(c)(i)Determine the equation of the curve.[3 marks]

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