Casio ClassPad II Custom Commands

aosor (Function)

Command last updated 6/3/2024.

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aosor(f, x, a, b)

Returns the area of the surface obtained by rotating the graph of f between x = a and x = b around the x-axis.

Example

Find the integral that gives the area of the surface of revolution obtained by rotating the graph of \(y = \cos^{-1}(x)\) between \(y = 0\) and \(y = \dfrac{\pi}{2}\) around the \(y\)-axis. (2023 Specialist Exam 2 Section A Question 11)

aosor(cos(y), y, 0, pi/2)

Contributed by Nhan