$($I need MATLAB CODE $!!!!!$ Problem will be solved with MATLAB.$)$Section and section area are given as below according to water line of a ship. At first, please derive a polynomial equation for the section area. Then, please calculate

a$)$ Trapezoidal rule,

b$)$ Simpson's $\frac{1}{3}$ composite rule $(n=100),$

c$)$ Simpson's $\frac{3}{8}$ composite rule $)$

${\displaystyle \underset{-2}{\overset{4}{}}}(1-x-4x^3+2x^5)dx$

Note: All problems will be solved both with MATLAB software $($m$.$ file$)$ and plot the curve fitting results and give ship displacement volume results with PDF $(.$pdf file$).$