Tutorial Week 10
Term Test Review
Q1: Write the integrals required for computing the following volumes of rotation:
1. Rotating the area between \(f(x) = 2x + 1\) and \(g(x) = 3x^2\) around the x axis using the cylindrical shells method.
2. Rotating the area between \(f(x) = 2x + 1\) and \(g(x) = 3x^2\) around the line \(x = -3\) using the cylindrical shells method.
3. Rotating the area between \(f(x) = 2x + 1\) and \(g(x) = 3x^2\) around the line \(y = -1\) using the slicing method.
