| Exam Board | OCR MEI |
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| Module | Paper 3 (Paper 3) |
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| Year | 2024 |
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| Session | June |
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| Topic | Integration by Substitution |
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5 In this question you must show detailed reasoning.
Using the substitution \(\mathrm { u } = \mathrm { x } + 1\), find the value of the positive integer \(c\) such that \(\int _ { \mathrm { c } } ^ { \mathrm { c } + 4 } \frac { \mathrm { x } } { ( \mathrm { x } + 1 ) ^ { 2 } } \mathrm { dx } = \ln 3 - \frac { 1 } { 3 }\).