Consider the area below f(x) on [a, b]. Use the sliders to change the values of a, b, or N, and check the boxes to see the corresponding left- and right-endpoint approximations. You can also change to a new function by typing it into the input bar, first using f(x)=.
Determine what the area under the curve approaches by using increasingly large values of N. You can change the maximum value of N (currently set at 50) by right clicking on N, selecting “Object Properties”, and then typing in a new number for the “Max”.