Example 3: Repeat Example 1 using four midpoint rectangles.
Now draw four rectangles that look like the following:
The width of each rectangle is still , but the heights of the rectangles are now
, , , and The area is now
TABULAR RIEMANN SUMS
Sometimes the AP Exam will ask you to find a Riemann sum, or to approximate an integral (same thing,
right?), but won’t give you a function to work with. Instead, they will give you a table of values for x and