$(2596)$ i$.$ Aswer the followingquations:

$(456)$ segment with trapeadial rult:

$f(x)=x^3+1$

$f(2)=9,I_{\text{a}\text{f}\text{f}}=\frac{1}{2}[3+2x(21+65)+126]$

$f(3).2t$

$f(4)=65$

$-16\mathrm{.}5$

$f(5).126$

$(5\%)$

b$)$ For tho above inagral determina the madmam and mitimum error you eould have in entimation using trapereidal rule with $600$ amgerks.

$h=\frac{b-q}{n}=\frac{5-2}{400}=0\mathrm{.}025$

$(7\%)$ C$)$ Fill in be blenks below to do to integral given in part $($a$)$ with MATLAB using tripecoidal rule with $600$ segments.

clear all

$\{2$:$0\mathrm{.}005$:$5$