$22\mathrm{.}10$ Develop a user$-$friendly computer program for the multiplesegment

$($a$)$ trapezoidal and $($b$)$ Simpson$$s $1$y$3$ rule based on

Fig. $22\mathrm{.}1.$ Test it by integrating

#$1$

$0$

x$0\mathrm{.}1(1\mathrm{.}22$ x$)(12$ e$20($x$21))$ dx

Use the true value of $0\mathrm{.}602298$ to compute et for n $54.$