Change the function by entering "f(x)= ____" in the Input bar.[br]The boundaries are currently fixed at 0 to 4 for cleaner screen.[br]Turning a checkbox on will show the corresponding Riemann Sum value and plot.[br]( Simpson's rule not shown on plot )[br]The number of subdivisions can be changed with the slider.

Change the number of intervals with the slider.[br][br]Show upper and lower sums. How do the sums vary as n increases?[br]Show the Left and Right sums. Are the Left and Right sums always between Upper and Lower sums?[br]HIde others and show left and trapezoid sums. Show Symbolic Integration for exact solution.[br]Which get closer to the exact solution, Trapezoid Sum or Left Sum?[br]Compare Midpoint sum, Trapezoid sum and Simpson's Rule for different n values?[br][br]Try the above with different functions?[br][br]Modified All Sums (Riemann Sums) from Ted Coe to add upper and lower sums.