(In Matlab) Write a script file (i.e. a non-function) “simpson.m” that computes

ID: 3676899 • Letter: #

Question

(In Matlab) Write a script file (i.e. a non-function) “simpson.m” that computes the integral

of this “f(x)=24sin(10x)+2x^2+4” using the “Multiple-Application” Simpson’s 1/3 Rule with n = 5, 50, and 500:

Your script file should include:

a) Request from user to input the following values: n, a ( = 0), and b ( = 5).

b) Clear (and nicely formatted) output display of the computed integral “I” and comparison with the actual exact integral value.

c) Clear statement indicating which method was used to compute the integral “I.”

n-1 n-2 Xj) + 1=(b-a) 3)0

NOTE: To find integration in MATLAB first download Symbolic Math Toolbox

clc

clear all

n = input ('Enter n');

a = input ('Enter a');

b = input ('Enter b');

disp('Integral using int function')

syms x

f = '24*sin(10*x)+2*(x^2)+4'

int(sym(f),x= a..b)

prettyint(sym(f))

disp('Integral using Simpson's 1/3 rule')

h = (b-a)/n

p=0;

for i=a:b
p=p+1;
x(p)=i;
y(p)=24*sin(10*i)+2*(i^2)+4 ; %Change here for different function

end

l=length(x);
x
y

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