Volumes of Revolution — Calc II Explorer

Equations

Write each boundary as you would in a textbook — y = sqrt(x), x = y^2, y = 2x — and the independent variable is read off the equation, so rows may mix the two forms. A constant like x = 4 or y = 0 is a bounding line.

Axis of revolution

A horizontal axis such as y = 0 or y = -1, or a vertical one such as x = 2.

Method

Disk / Washer Shell

Interval (x)

auto in x in y

a b

auto-detect from intersections

Region & cross-section

slice

Region & cross-section

Revolution

Solid + cross-section