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Competitive Stats
Q50Section I (Objective (Q1–Q80))50 of 80

Numerical Analysis — Simpson's one-third rule

Consider the following table:

x01/41/23/41f(x)14/52/34/71/2\begin{array}{c|ccccc} x & 0 & 1/4 & 1/2 & 3/4 & 1\\\hline f(x) & 1 & 4/5 & 2/3 & 4/7 & 1/2 \end{array}

Apply Simpson's one-third rule with 4 equal subintervals to estimate the area bounded by the curve and the xx-axis from x=0x=0 to x=1x=1. If the area is AA, then what is 2520A2520A equal to?

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