Question

find trapezoidal rule and simpsons rule and error value for functions f(y)=y for yE[1,3] and f(y)=logy for yE[2,4]

also write python code or matlab code with output.

and plot graph.

can someone answer this question urgent

Answer 1

`Hey,

Note: Brother if you have any queries related the answer please do comment. I would be very happy to resolve all your queries.

clc
clear all
close all
format long
f=@(y) y;
disp('Trapezoid method for f(y)=y');
trapezoid(f,1,3,20)
disp('Trapezoid method for f(y)=log(y)');
trapezoid(f,2,4,20)
function I = trapezoid(func,a,b,n)

% I = trap(func,a,b,n):

% multiple-application trapezoidal rule.

% input:

% func = name of function to be integrated

% a, b = integration limits

% n = number of segments

% output:

% I = integral estimate

x = a;

h = (b - a)/n;

s = feval(func,a);

for i = 1 : n-1

x = x + h;

s = s + 2*feval(func,x);

end

s = s + feval(func,b);

I = (b - a) * s/(2*n);
end

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Thanks.