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4 marksDefinite Integrals

CSEC Additional Mathematics · 2017 · Paper 2 · Question 6(a)

Show that ∫₀^(π/4) (sin x + 4 cos x) dx = (3√2 + 2) / 2.

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  1. 6(b)Determine the equation of a curve whose gradient function dy/dx = x + 2, and which passes through the point P(2, 3).[3 marks]
  2. 6(c)Evaluate ∫₁² (4 - x)² dx.[3 marks]
  3. 6(d)Calculate the volume of the solid formed when the area enclosed by the straight line y = x/2 and the x-axis for x = 0 to x = 6 is rotated through 2π about the…[4 marks]

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