this is for numerical analysis class. please make sure the code of MATLAB is work. $(1)($Matlab $+$ composite trapezoidal and Simpson$)$ Let $I(f)={\displaystyle \underset{a}{\overset{b}{}}}f(x)dx$ for a con$-$

tinuous function $f.$

$($a$)$ Implement a Matlab that compute the composite trapezoidal quadrature for$-$

mula. The function should be define as follows

out $=com{p}_t$rapezoidal $(a,b,m,f)$;

where a and $b$ are a and $b,m$ is the number of subintervals in which $a,b$ is

partitioned, and $f$ is the function $f(x).$

$($b$)$ Implement a Matlab that compute the composite Simpson quadrature formula.

The function should be define as follows

out $=com{p}_s$impson $(a,b,m,f)$;

where a and $b$ are a and $b,m$ is the number of subintervals in which $a,b$ is

partitioned, and $f$ is the function $f(x).$