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Double Integral · Riemann boxes under z = f(x, y)

f(x, y) = x ∈ [ , ] y ∈ [ , ] use x and y · functions: sin, cos, tan, sqrt, log, exp, abs · ^ for power · constants: pi, e

Double Integral · boxes under the surface

f(x, y) = —

domain R = —

grid — ΔA = —

Riemann sum: —

true value ≈ —

error: —

surface z = f(x, y) · gold = high, blue = low

positive box (f > 0)

negative box (f < 0) — subtracts from total

floor heatmap (domain colored by f value)

drag to rotate · scroll to zoom

Few boxes — rough staircase. Drag the N and M sliders up to see the sum converge.