Interactive visualization of Fubini's theorem, showing iterated double integrals as cross-sectional slices
Fubini’s theorem states that a double integral ∬f(x,y)dA over a rectangular region can be computed as an iterated integral in either order. This calculator lets you enter a function of two variables and visualize the two iterated integrals, showing how slicing the solid region in the x- or y-direction produces families of cross-sections whose areas integrate to the same total volume.
Controls: Click and drag to orbit, scroll to zoom.