The table below gives the values of f(x) for different values of x:

x

0

0.25

0.5

0.75

1

f(x)

1

0.9682

0.8660

0.6614

0

The value of, \(I = \mathop \smallint \limits_0^1 f\left( x \right)dx\) using Simpson’s rule is

1
0.866
2
0.749
3
0.7709
4
0.73

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