Homework Answers
The m-file for simpson 3/8 rule is given below.
function I= Simpson38(f,a,b)
%find integral of function f on the interval [a,b]
%f must be defined as an inline function
h=(b-a)/3
x0=a;
x1=x0+h;
x2=x0+2*h;
x3=b;
S1= feval(f,a);
S2=3*feval(f,x1);
S3=3*feval(f,x2);
S4=feval(f,b);
S=S1+S2+S3+S4;
I=S*h*3/8;
end
In command window we have to write
>> f=@(x)8+4*cos(x);
>> a=0;
>> b=pi/2;
>> I=Simpson38(f,a,b)
And the result is
h =
0.5236
I =
16.5704
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