The table gives the values of a function obtained from an experiment. Use them to estimate $\int_{0}^{\,6} {f(x)}\, dx$ using three equal subintervals with (a) right endpoints, (b) left endpoints, and (c) midpoints.

(a) $R_3 =$

(b) $L_3 =$

(c) $M_3 =$

(d) If the function is known to be a decreasing function, can you say whether your estimates are less than or greater than the exact value of the integral?

1. $M_3$

2. $R_3$

3. $L_3$

You can earn partial credit on this problem.