Question

Solve by using

(a) the most accurate combination of Trapezoidal and Simpson’s rules.

(b) the MATLAB trapz function.

(c) the function trapuneq.

Answer 1

PLEASE REFER BELOW CODE

close all
clear all
clc

%a)
%given data
x = [0 2 4 5 6 7 10];
r = [2 1.35 1.34 1.6 1.58 1.42 2];

%trapezoidal rule
a = 0;
b = 10;
h = (b-a)/length(x);

l=length(x);
I = (h/3)*((r(1)+r(l))+2*(r(3)+r(5))+4*(r(2)+r(4)+r(6)))

%b)
I1 = trapz(x,r)

%c)
I2 = trapuneq(x,r)

PLEASE REFER BELOW OUTPUT

I =

13.0095

I1 =

15.7300

I2 =

15.7300

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