| Exam Board | OCR MEI |
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| Module | Further Pure Core (Further Pure Core) |
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| Year | 2024 |
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| Session | June |
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| Topic | Integration using inverse trig and hyperbolic functions |
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16 In this question you must show detailed reasoning.
Show that \(\int _ { 0 } ^ { 1 } \frac { 1 } { \sqrt { \mathrm { x } ^ { 2 } + \mathrm { x } + 1 } } \mathrm { dx } = \ln \left( \frac { \mathrm { a } + \mathrm { b } \sqrt { 3 } } { \mathrm { c } } \right)\), where \(a , b\) and \(c\) are integers to be determined.