3. Find Solution of an equation x^3-2x+1 using Simpson's 1/3 rule
x1 = 2 and x2 = 4
Step value (h) = 0.5

Solution:
Equation is `f(x)=x^3-2x+1`.

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

x	2	2.5	3	3.5	4
y	5	11.625	22	36.875	57

Method-1:
Using Simpsons `1/3` Rule

`int y dx=h/3 [(y_0+y_4)+4(y_1+y_3)+2(y_2)]`

`int y dx=0.5/3 [(5 +57)+4xx(11.625+36.875)+2xx(22)]`

`int y dx=0.5/3 [(5 +57)+4xx(48.5)+2xx(22)]`

`int y dx=0.5/3 [(62)+(194)+(44)]`

`int y dx=50`

Solution by Simpson's `1/3` Rule is `50`

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Method-2:
Using Simpsons `1/3` Rule

`int y dx=h/3 [y_0+4y_1+2y_2+4y_3+y_4]`

`y_0=5`

`4y_1=4*11.625=46.5`

`2y_2=2*22=44`

`4y_3=4*36.875=147.5`

`y_4=57`

`int y dx=0.5/3*(5+46.5+44+147.5+57)`

`int y dx=0.5/3*(300)`

`int y dx=50`

Solution by Simpson's `1/3` Rule is `50`

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