| 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 | March |
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| Topic | Integration by Substitution |
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5 By using a suitable substitution, which should be stated, show that
$$\int _ { \frac { 3 } { 2 } } ^ { \frac { 5 } { 2 } } \frac { 1 } { \sqrt { 4 x ^ { 2 } - 12 x + 13 } } \mathrm {~d} x = \frac { 1 } { 2 } \ln ( 1 + \sqrt { 2 } )$$