| Exam Board | OCR |
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| Module | C4 (Core Mathematics 4) |
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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 \(u = 1 + \sqrt { x }\) to show that
$$\int _ { 4 } ^ { 9 } \frac { 1 } { 1 + \sqrt { x } } \mathrm {~d} x = 2 + 2 \ln \frac { 3 } { 4 }$$