Implement the multiple segment version of the trapezoidal and Simpsons $1/3$ rules for a line

integral with limits from a to b as a MATLAB function. Inputs should be integration limits $($a$,$b$),$

number of segments $($n$)($check for evenness of n for Simpsons $1/3$ rule$),$ and a function name $($f$).$

Test this implementation for both methods by computing the following line integral by using n $=$

$10,100,$ and $1000$:

$1$

$0\mathrm{.}1$

$20(1)$

$0$

$(1\mathrm{.}2)(1)$

x

x x e dx

Also use the MATLABs integral function to evaluate the same integral. Evaluate the percent

error in each case based on the true solution of $0\mathrm{.}602297.$ Note that you can use the MATLAB

help utility for assistance regarding usage of these functions and other functions.