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??? - 2014 q3

3.
Fig. 3 shows the curve 
y = x3 + √(sinx), 0≤x≤ π/4
Picture
(i) Use the trapezium rule with 4 strips to estimate the area of the region bounded by the curve, the x-axis and the line x=π/4 , giving your answer to 3 decimal places. [4]

(ii) Suppose the number of strips in the trapezium rule is increased. Without doing further calculations, state, with a reason, whether the area estimate increases, decreases, or it is not possible to say. [1]
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