# Definite Integrals

# Over or Under Estimates Exercises

### Example 1

Let *f* (*x*) = (*x* – 4)^{2} + 9 and let Q be the region between the graph of *f* and the *x*-axis on [0,4].

Does a midpoint sum (with one sub-interval) provide an overestimate or underestimate of the area of Q?