A graph of the function h is shown below. Use a midpoint sum with 3 sub-intervals to estimate the area between the graph of h and the x-axis on [0,3].

Dividing [0,3] into 3 equal sub-intervals gets us sub-intervals [0,1], [1,2], and [2,3], with midpoints .5, 1.5, and 2.5. The rectangles we get look like this:

The width of each sub-interval is 1. Adding up the areas of the rectangles we get