Chapter 4.3, Problem 46E

Estimating a Definite Integral Use the table of values to estimate

${\displaystyle {\int }_0^{6}f\left(x\right)dx}$

Use three equal subintervals and the (a) left endpoints, (b) right endpoints, and (c) midpoints. When f is an increasing function, how does each estimate compare with the actual value? Explain your reasoning.

x	0	1	2	3	4	5	6
f(x)	-6	0	8	18	30	50	80