| Exam Board | AQA |
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| Module | C3 (Core Mathematics 3) |
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| Year | 2012 |
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| Session | June |
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| Topic | Integration by Substitution |
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6 Use the substitution \(u = x ^ { 4 } + 2\) to find the value of \(\int _ { 0 } ^ { 1 } \frac { x ^ { 7 } } { \left( x ^ { 4 } + 2 \right) ^ { 2 } } \mathrm {~d} x\), giving your answer in the form \(p \ln q + r\), where \(p , q\) and \(r\) are rational numbers.