$[\frac{2}{6}$ Points$]$

$\frac{1}{5}$ Submissions Used

$(a)$ Which rule produced which estimate?

$L_n=$

$R_n=0\mathrm{.}7815$

$T_n=0\mathrm{.}8632$

$M_n=$

$(b)$ Between which two approximations does the true value $of{\displaystyle \underset{0}{\overset{2}{}}}f(x)dx$ lie?

smaller value

larger value $q,x$