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approximation integrals using three rules

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Benjamin Trivers
Benjamin Trivers 2020-2-2
关闭： John D'Errico 2020-2-2
IN MATLAB ONLY
Using these four functions, create a script to publish, writing a cell that uses N=10,20,40,80,160,320 to calculate the approximations to the integral below using each of the three rules. The script should calculate the values as well as the absolute errors for each rule and display them in a nicely formatted table, which should include the method, N, the approximate value, and the absolute error. To format the table, use
function:
function y=func(x)
y=sqrt(4−x^2);
end
The midpoint rule:
function y=Mid(a,b,N)
dx=(b-a)/N;
y=0;
for i=1:N
y=y+func(a+(i-0.5)*dx)*dx;
end
end
The trapezoidal rule:
function y=Trap(a,b,N)
dx=(b-a)/N;
y=0;
for i=1:N
y=y+0.5*(func(a+(i-1)*dx) + func(a+i*dx))*dx;
end
end
Simpson’s Rule:
function y=Simp(a,b,N)
dx=(b-a)/N;
y=0;
for i=1:N
y=y+(1/6)*(func(a+(i-1)*dx) + 4*func(a+(i-0.5)*dx) + func(a+i*dx))*dx;
end
end
fprintf('\%s | \%s | \%s | \%s \\n','N','Method','Value','AbsError')
  1 个评论
John D'Errico
John D'Errico 2020-2-2
Are you just going to post all of the questions on your homework, with no reason shown?
Why are you asking this question? What is your problem?

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