Type a surface z = f(x, y) and the Type I or Type II limits. The figure is the solid under that surface. The two buttons are standard volume questions; you can also type any similar region and press Draw.
Examples: 4*x*y, sqrt(36-y*y), 8-2*y, 1
Textbook volumes, or type your own limits and press Draw.
Type I · dy dx a ≤ x ≤ b, g₁(x) ≤ y ≤ g₂(x)
Type II · dx dy c ≤ y ≤ d, h₁(y) ≤ x ≤ h₂(y)
3D solid under z = f(x, y)
Drag to rotate. Move the slider to send the slice through the solid.
surface z = f
moving slice
base / Riemann columns
Integration mode
What the integral is doing
0
One order shows a single slice. All puts the slices together, which is the double integral.