3. Find Solution of an equation x^3-2x+1 using Simpson's 3/8 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 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=(3xx0.5)/8 [(5 +57)+2xx(36.875)+3xx(11.625+22)]`

`int y dx=(3xx0.5)/8 [(5 +57)+2xx(36.875)+3xx(33.625)]`

`int y dx=(3xx0.5)/8 [(62)+(73.75)+(100.875)]`

`int y dx=44.3672`

Solution by Simpson's `3/8` Rule is `44.3672`

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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=5`

`3y_1=3*11.625=34.875`

`3y_2=3*22=66`

`2y_3=2*36.875=73.75`

`y_4=57`

`int y dx=(3xx0.5)/8 *(5+34.875+66+73.75+57)`

`int y dx=(3xx0.5)/8 *(236.625)`

`int y dx=44.3672`

Solution by Simpson's `3/8` Rule is `44.3672`

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