| Exam Board | Edexcel |
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| Module | C4 (Core Mathematics 4) |
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| Year | 2008 |
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| Session | January |
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| Topic | Integration by Parts |
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4. (i) Find \(\int \ln \left( \frac { x } { 2 } \right) \mathrm { d } x\).
(ii) Find the exact value of \(\int _ { \frac { \pi } { 4 } } ^ { \frac { \pi } { 2 } } \sin ^ { 2 } x \mathrm {~d} x\).