| Exam Board | OCR MEI |
| Module | C3 (Core Mathematics 3) |
| Year | 2012 |
| Session | January |
| Topic | Integration by Parts |
3 Show that \(\int _ { 0 } ^ { \frac { \pi } { 2 } } x \cos \frac { 1 } { 2 } x \mathrm {~d} x = \frac { \sqrt { 2 } } { 2 } \pi + 2 \sqrt { 2 } - 4\).