| Exam Board | Pre-U |
|---|---|
| Module | Pre-U 9794/2 (Pre-U Mathematics Paper 2) |
| Year | 2013 |
| Session | November |
| Topic | Volumes of Revolution |
| Type | Volume with exponential functions |
| Difficulty | Moderate -0.3 This is a straightforward application of the volume of revolution formula V = π∫y² dx with an exponential function. The integration of e^(2x) is standard (gives e^(2x)/2), and substituting limits requires only basic exponential evaluation. While it involves exponentials rather than polynomials, it's a direct single-method question with no conceptual challenges, making it slightly easier than average. |
| Spec | 4.08d Volumes of revolution: about x and y axes |
8 Find the exact volume of the solid of revolution generated by rotating the graph of $y = 3 \mathrm { e } ^ { x }$ between $x = 0$ and $x = 2$ through $360 ^ { \circ }$ about the $x$-axis.
\hfill \mbox{\textit{Pre-U Pre-U 9794/2 2013 Q8}}