Develop a Matlab code to evaluate the following integral:

${\displaystyle \underset{0}{\overset{4}{}}}(1-e^{-x})dx$

$($a$)$ Analytically. You can use symbolic variable syms $\text{'}x\text{'}$ in Matlab. However, your

final result should be displayed by numerical form instead of symbolic form.

$($b$)$ Single application of trapezoidal rule. $($You should write your own code$)$

$($c$)$ Multiple application of trapezoidal rule with $4-$times applications. Calculate the

true percent relative error based on $($a$).$

$($d$)$ Multiple application of Simpson's $\frac{1}{3}$ rule with $4-$times applications. Calculate

the true percent relative error based on $($a$).$