Question

Know the difference between left Rectangle rule, right Rectangle rule and the trapezoidal rule.

Given the data

a = 1;

b = 100;

t = a:.001:b;

y = 40*exp(2*pi*t/5) + 6.43*t - .004*t^2;

What estimates the integral of y from a to b?

(one ans: s = sum(y)*.001; )

Answer 1

`Hey,

Note: Brother in case of any queries, just comment in box I would be very happy to assist all your queries

clc
clear all
close all
a = 1;
b = 100;
t = a:.001:b;
y = 40*exp(2*pi*t/5) + 6.43*t - .004*t.^2;
disp('Result by left rectangle');
s=sum(y(1:end-1))*0.001
disp('Result by right rectangle');
s=sum(y(2:end))*0.001
disp('Results by trapz');
s=trapz(t,y)

Kindly revert for any queries

Thanks.