2. Find Solution using Simpson's 3/8 rule

x	f(x)
0.0	1.0000
0.1	0.9975
0.2	0.9900
0.3	0.9776
0.4	0.8604

Solution:
The value of table for `x` and `y`

x	0	0.1	0.2	0.3	0.4
y	1	0.9975	0.99	0.9776	0.8604

Method-1:
Using Simpson's `3/8` Rule

`int y dx=(3h)/8 [(y_0+y_4)+2(y_3)+3(y_1+y_2)]`

`int y dx=(3xx0.1)/8 [(1 +0.8604)+2xx(0.9776)+3xx(0.9975+0.99)]`

`int y dx=(3xx0.1)/8 [(1 +0.8604)+2xx(0.9776)+3xx(1.9875)]`

`int y dx=(3xx0.1)/8 [(1.8604)+(1.9552)+(5.9625)]`

`int y dx=0.3667`

Solution by Simpson's `3/8` Rule is `0.3667`

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Method-2:
Using Simpson's `3/8` Rule

`int y dx=(3h)/8 [y_0+3y_1+3y_2+2y_3+y_4]`

`y_0=1`

`3y_1=3*0.9975=2.9925`

`3y_2=3*0.99=2.97`

`2y_3=2*0.9776=1.9552`

`y_4=0.8604`

`int y dx=(3xx0.1)/8 *(1+2.9925+2.97+1.9552+0.8604)`

`int y dx=(3xx0.1)/8 *(9.7781)`

`int y dx=0.3667`

Solution by Simpson's `3/8` Rule is `0.3667`

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