$\backslash$table$[[x,3,4,5,6,7,8,9],[f(x),-3\mathrm{.}6,-2\mathrm{.}2,-0\mathrm{.}6,0\mathrm{.}2,0\mathrm{.}9,1\mathrm{.}4,1\mathrm{.}8]]$

$($a$)$ Estimate ${\displaystyle \underset{3}{\overset{9}{}}}f(x)dx$ using three equal subintervals and right endpoints.

$R_3=$

If the function is known to be an increasing funtion, can you say whether your estimate is less than or greater than the exact value of the integral?

$$ less than

$$ greater than

$$ one cannot say

$($b$)$ Estimate ${\displaystyle \underset{3}{\overset{9}{}}}f(x)dx$ using three equal subintervals and left endpoints.

If the function is known to be an increasing funtion, can you say whether your estimate is less than or greater than the exact value of the integral?

less than

greater than

one cannot say

$($c$)$ Estimate ${\displaystyle \underset{3}{\overset{9}{}}}f(x)dx$ using three equal subintervals and midpoints.

$M_3=$

If the function is known to be an increasing funtion, can you say whether your estimate is less than or greater than the exact value of the integral?

less than

$$ greater than

$$ one cannot say