| Exam Board | OCR |
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| Module | C4 (Core Mathematics 4) |
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| Year | 2009 |
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| Session | June |
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| Topic | Integration by Parts |
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4
- Differentiate \(\mathrm { e } ^ { x } ( \sin 2 x - 2 \cos 2 x )\), simplifying your answer.
- Hence find the exact value of \(\int _ { 0 } ^ { \frac { 1 } { 4 } \pi } \mathrm { e } ^ { x } \sin 2 x \mathrm {~d} x\).