| Exam Board | OCR MEI |
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| Module | Further Pure Core (Further Pure Core) |
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| Year | 2023 |
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| Session | June |
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| Topic | Integration using inverse trig and hyperbolic functions |
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15 In this question you must show detailed reasoning.
Evaluate \(\int _ { 1 } ^ { 2 } \frac { 1 } { \sqrt { 1 + 2 x - x ^ { 2 } } } d x\), giving your answer in terms of \(\pi\).