| Exam Board | OCR |
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| Module | Further Pure Core 1 (Further Pure Core 1) |
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| Year | 2018 |
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| Session | December |
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| Topic | Integration using inverse trig and hyperbolic functions |
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9 In this question you must show detailed reasoning.
Find \(\int _ { - 1 } ^ { 11 } \frac { 1 } { \sqrt { x ^ { 2 } + 6 x + 13 } } \mathrm {~d} x\) giving your answer in the form \(\ln ( p + q \sqrt { 2 } )\) where \(p\) and \(q\) are integers to be determined.