$($MATLAB code II$)[10$ points$]$ The trapezoidal rule may be used with data containing unequal segments. The below is the formula for this case.

$I={\displaystyle \underset{x0}{\overset{xn}{}}}fn(x)dx={\displaystyle \underset{x0}{\overset{x1}{}}}fn(x)dx+{\displaystyle \underset{x1}{\overset{x2}{}}}fn(x)dx+$cdots$+{\displaystyle \underset{xn-1}{\overset{xn}{}}}fn(x)dx$

$I=(x1-x0)\frac{f(x0)+f(x1)}{2}+(x2-x1)\frac{f(x1)+f(x2)}{2}+$cdots

$+(xn-xn-1)\frac{f(xn-1)+f(xn)}{2}$

The following is a MATLAB code for this numerical integration of $f(x)=0\mathrm{.}2+25x-200x^2+675x^3-900x^4+400x^5$ when $x=[00\mathrm{.}120\mathrm{.}220\mathrm{.}320\mathrm{.}360\mathrm{.}40\mathrm{.}440\mathrm{.}540\mathrm{.}640\mathrm{.}70\mathrm{.}8].$ Fill in the blank $[].$