When the figure first loads, we see a region bounded below by , bounded above by , and bounded on the sides by the lines and . A function is also given and we wish to integrate over this region. Click the checkbox next to to show/hide the surface . You can drag the 3D view to get a better perspective. Clicking the button "3D 2D" will also change the view. Computing the double integral tells us the volume of the solid above the bounded region and below . First, we compute . Thus, tells us the cross-sectional area of the solid for any . Next, we integrate from to to get the volume of the iterated integral.

If you make your own examples, you may need to change the 3D view to see your bounded region and the solid clearly.

• Dragging rotates the view.
• Shift+Drag will pan the view.
• Shift+Click will change the direction of the panning.
• Scroll wheel zooms in and out.

Developed for use with Thomas' Calculus, published by Pearson.