| Exam Board | AQA |
| Module | FP2 (Further Pure Mathematics 2) |
| Year | 2008 |
| Session | June |
| Topic | Integration by Substitution |
6 By using the substitution \(u = x - 2\), or otherwise, find the exact value of
$$\int _ { - 1 } ^ { 5 } \frac { \mathrm {~d} x } { \sqrt { 32 + 4 x - x ^ { 2 } } }$$