Question

Evaluate in matlab please Part d

Faculty of Engineering Question 1 Consider the integral 8 1-0.055x4 0.86x3 - 4.2x2 + 6.3x + 2)d:x 0 Evaluate the integral analytically to four decimal places. Use Romberg integration to evaluate the integral to an accuracy of to three decimal places. Evaluate the given integral using the three-point Gauss quadrature formula, rounding the final answer to three decimal places. a) b) c) d) Evaluate the integral in MATLAB using the integral function ,-0.5%, rounding the answer

Answer 1

Program code screenshot:

main.m

%% clear the screen clc; %% close all the previous task on command prompt close all; %% use for display the result in long %% to get the result up to 4 decimal places format long; %% define the given integral equation fun@(x) -0.055*x.4 0.86*x.3 - 4.2 * x.2 + 6.3*x + 2 %% evaluate the integral by using inbuilt integral function %% here integration range going from 0 to 8 Ч = integral (fun, 0,8); display the integration message fprintt (he evaluate integration of the given function ia:

Sample output:

Command Window The evaluvate integration of the given function is: 20.992000

program code to copy:

%main.m

%% clear the screen

clc;

%% close all the previous task on command prompt

close all;

%% use for display the result in long

%% to get the result up to 4 decimal places

format long;

%% define the given integral equation

fun = @(x) -0.055*x.^4 + 0.86*x.^3 - 4.2 * x.^2 + 6.3*x + 2;

%% evaluate the integral by using inbuilt integral function

%% here integration range going from 0 to 8

q = integral(fun,0,8);

%% display the integration message

fprintf('The evaluate integration of the given function is: %f\n', +q)