Volume of Solid of Revolution about x-axis

For your reference: Enter in the function in the blue input box below. Adjust the "a" and "b" values by using either the sliders or entering them in the input boxes yourself. [b][color=#1551b5]To the right is displayed what the solid of revolution would look like if you rotated the displayed area about the x-axis. [/color][/b] As an exercise, try to calculate this volume and see how your answer compares to the volume displayed. (Note: For volumes that are irrational, the displayed value only approximates the true exact value.)