| Exam Board | OCR MEI |
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| Module | Further Pure Core (Further Pure Core) |
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| Session | Specimen |
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| Topic | Hyperbolic functions |
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15 In this question you must show detailed reasoning.
Show that
$$\int _ { 0 } ^ { \frac { 2 } { 3 } } \operatorname { arsinh } 2 x \mathrm {~d} x = \frac { 2 } { 3 } \ln 3 - \frac { 1 } { 3 }$$