# Riemann Sums Demo

This demonstration computes Riemann sums of functions and plots the rectangles used in the Riemann sums.

You can change the following inputs in the demonstration.

• The function $$f(x)$$ can be entered in a box.
• The interval $$[a, b]$$ can be changed by sliders.
• The interval in the $$x$$-axis on which the function is plotted can be changed by sliders.
• The interval in the $$y$$-axis that is visible can be changed by sliders.
• The number $$n$$ can be changed by a slider.
• The choice of right hand sums, left hand sums or midpoint sums can be selected from a list.

# Using this Demo

To start the demonstration, click on the button "Launch the Demonstration Now."

To change the inputs in the demonstration, note the following.

• When you type something in an input box, the demonstration won't recompute until you hit Return on your keyboard.
• When you drag a slider back and forth, the demonstration won't recompute until you let go of the mouse button.
• There may be a few second delay when the demonstration recomputes, depending on the speed of your internet connection.

Ethan Bloch
Professor of Mathematics
Bard College

Office Hours:

• Monday: 4:00-5:30
• Wednesday: 2:00-3:30
• Thursday: 10:30-12:00
• Or by appointment