| Exam Board | Pre-U |
|---|---|
| Module | Pre-U 9794/1 (Pre-U Mathematics Paper 1) |
| Year | 2013 |
| Session | November |
| Topic | Integration by Parts |
| Type | Basic integration by parts |
| Difficulty | Moderate -0.5 This is a straightforward single application of integration by parts with standard functions (polynomial times trigonometric). It requires only the basic formula with u=x, dv=sin(2x)dx, and careful handling of the chain rule when integrating sin(2x), making it slightly easier than average but not trivial. |
| Spec | 1.08i Integration by parts |
9 Find $\int x \sin 2 x \mathrm {~d} x$.
\hfill \mbox{\textit{Pre-U Pre-U 9794/1 2013 Q9}}