Casio ClassPad II Custom Commands

vosor (Function)

Command last updated 23/11/2022.

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vosor(f, x, a, b)

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

Example

\(f(x) = \dfrac{x}{1+x^3}\). Find the value of \(a\) such that the volume of the solid obtained by rotating the graph of \(f(x)\) between \(x=0\) and \(x=a\) around the \(x\)-axis equals the volume of the solid obtained by rotating the graph of \(f(x)\) between \(x=a\) and \(x=3\) around the \(x\)-axis. (2017 Specialist Exam 2 Section B Question 1cii)

solve(vosor(f(x), x, 0, a)=vosor(f(x), x, a, 3), a)

Contributed by Nhan