Skip to content
Q25Section I (Objective (Q1–Q80))25 of 80

Numerical Analysis — Simpson's rule area computation

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}

Simpson's one-third rule with 4 equal intervals is used to approximate the area bounded by the curve f(x)f(x) and xx-axis from x=0x = 0 to x=1x = 1. What is the approximate value of the area?

Options

Pick an option to check your answer. In a mock test a wrong answer here costs 0.83 mark.