$\%$ Numerical Integration $..$

clear

clc

$\%$ xl is the lower bound,

$\%$ xu is the upper bound,

$\%$ and wid is the interval width

xl$=0\mathrm{.}2$;

xu$=10$;

wid$=1$;

k$=0$;

I$=0$; $\%$ the integral needs to be initialized

for ii$=$xl:wid:xu$-$wid

k$=$k$+1$;

AI$=((1/$ii$)+4*(1/($ii$+$wid$/2))+(1/($ii$+$wid$)))/6*$wid;

I$=$I$+$AI

pp$($k$)=$I;

end

plot$($pp$)$

grid

$\%$ USe different fuctions

$\%$ Covert this to a function $..$

$\%$ function $[$I$,$err$]=$int$1$x$($xl$,$xu$,$wid$)$

$\%$ End $..$

$-$ Do the Numerical Differentiation and Numerical Integration for the same example $($The given

function$)$ by hand. Show your steps.

$-$ Do Numerical Differentiation and Numerical Integration for the same example $($The given

function$)$ by computing coding $($I prefer python$).$ Show your steps.

$-$ Explain the hand and code algorithms, and elaborate on the difficulties.

$-$ Compare the two results.