| Exam Board | OCR |
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| Module | C4 (Core Mathematics 4) |
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| Year | 2014 |
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| Session | June |
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| Topic | Integration by Parts |
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8
- Use division to show that \(\frac { t ^ { 3 } } { t + 2 } \equiv t ^ { 2 } - 2 t + 4 - \frac { 8 } { t + 2 }\).
- Find \(\int _ { 1 } ^ { 2 } 6 t ^ { 2 } \ln ( t + 2 ) \mathrm { d } t\). Give your answer in the form \(A + B \ln 3 + C \ln 4\).