| Exam Board | OCR |
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| Module | C4 (Core Mathematics 4) |
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| Year | 2006 |
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| Session | June |
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| Topic | Integration by Parts |
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8
- Show that \(\int \cos ^ { 2 } 6 x \mathrm {~d} x = \frac { 1 } { 2 } x + \frac { 1 } { 24 } \sin 12 x + c\).
- Hence find the exact value of \(\int _ { 0 } ^ { \frac { 1 } { 12 } \pi } x \cos ^ { 2 } 6 x \mathrm {~d} x\).