| Exam Board | AQA |
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| Module | C3 (Core Mathematics 3) |
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| Year | 2005 |
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| Session | June |
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| Topic | Integration by Parts |
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3
- Find \(\int \mathrm { e } ^ { 4 x } \mathrm {~d} x\).
- Use integration by parts to find \(\int \mathrm { e } ^ { 4 x } ( 2 x + 1 ) \mathrm { d } x\).
- By using the substitution \(u = 1 + \ln x\), or otherwise, find \(\int \frac { 1 + \ln x } { x } \mathrm {~d} x\).