| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Year | 2009 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Integration by Parts |
| Type | Basic integration by parts |
| Difficulty | Standard +0.3 This is a straightforward application of integration by parts with standard functions (x and sec²x), where the derivative of sec²x is known and the integral of x is trivial. It requires one application of the formula with no complications, making it slightly easier than average but still requiring proper technique. |
| Spec | 1.08i Integration by parts |
2 Find $\int x \sec ^ { 2 } x \mathrm {~d} x$.
\hfill \mbox{\textit{OCR C4 2009 Q2 [4]}}