| Exam Board | OCR MEI |
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| Module | C3 (Core Mathematics 3) |
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| Year | 2005 |
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| Session | June |
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| Topic | Integration by Substitution |
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5 Using the substitution \(u = 2 x + 1\), show that \(\int _ { 0 } ^ { 1 } \frac { x } { 2 x + 1 } \mathrm {~d} x = \frac { 1 } { 4 } ( 2 - \ln 3 )\).