General Region Double Integral
Description
For a double integral over a general region, , the region can be bound by top and bottom curves , , or left and right curves, . This applet illustrates both options.
With "Bottom to Top" checked functions of define the bottom and top of the area. The integral from the bottom to top gives the integral for a thick element which can then be integrated from left to right. Clicking the play button or moving the Left2Right slider advances the integration.
With "Left to Right" checked the region is bounded by curves on the left and right. These curves are functions of . So the integral from to provides the integral for a thick slice. This can then be integrated in the direction to provide the full integral. The play button or slider can be used to illustrate the outer integral.