Volume of Revolution using a Rational Function
Consider the rational function \(y=\frac{2}{x-1}\). The region bounded by the graph of this function, the x-axis, and the vertical lines \(x=3\) and \(x=5\) is rotated about the y-axis to form a solid. (a) Express \(x\) in terms of \(y\) by inverting the function. (b) Set up and evaluate the integral to find the volume of […]