| Exam Board | OCR |
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| Module | C4 (Core Mathematics 4) |
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| Year | 2010 |
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| Session | June |
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| Topic | Integration by Substitution |
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4 Use the substitution \(u = \sqrt { x + 2 }\) to find the exact value of
$$\int _ { - 1 } ^ { 7 } \frac { x ^ { 2 } } { \sqrt { x + 2 } } \mathrm {~d} x$$