Command last updated 23/11/2022.
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.
\(f(x) = \dfrac{x}{1+x^3}\). 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)