| Exam Board | Edexcel |
| Module | AEA (Advanced Extension Award) |
| Year | 2012 |
| Session | June |
| Topic | Integration by Substitution |
2.(a)Show that
$$\sin 3 x = 3 \sin x - 4 \sin ^ { 3 } x$$
Hence find
(b) \(\int \cos x ( 6 \sin x - 2 \sin 3 x ) ^ { \frac { 2 } { 3 } } \mathrm {~d} x\)
(c) \(\int ( 3 \sin 2 x - 2 \sin 3 x \cos x ) ^ { \frac { 1 } { 3 } } \mathrm {~d} x\)