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you are given that f(x) = 1/(x^3 + 1), x > -1i) show that f(x) is a decreasing functionii) copy and complete a table for y = f(x), giving your answers to 4 decimal places, for x = 2, x = 2.25, x = 2.5, x = 2.75 and x = 3 iii) using the sum of the areas of four rectangles, form an inequality for the value of ∫(lower 2, upper 3) f(x) dx, giving your bounds to 3d.p.iv) give the value of ∫(lower 2, upper 3) f(x) dx to as great a degree of accuracy as possible from your answer to part iii) and explain how you could refine this method to enable you to give an answer to a greater degree of accuracy
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