Question $5$

Given the following values approximate ${\displaystyle \underset{1\mathrm{.}1}{\overset{1\mathrm{.}5}{}}}f(x)dx$ using midpoint rule.

$\backslash$table$[[x,1\mathrm{.}1,1\mathrm{.}2,1\mathrm{.}3,1\mathrm{.}4,1\mathrm{.}5],[f(x),1\mathrm{.}29,2\mathrm{.}0,6\mathrm{.}04,8\mathrm{.}03,10\mathrm{.}47]]$

$1\mathrm{.}8$

$2\mathrm{.}2$

$2\mathrm{.}88$

$2\mathrm{.}01$