| Exam Board | OCR |
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| Module | FP2 (Further Pure Mathematics 2) |
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| Year | 2016 |
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| Session | June |
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| Topic | Integration with Partial Fractions |
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2 It is given that \(\mathrm { f } ( x ) = \frac { x ( x - 1 ) } { ( x + 1 ) \left( x ^ { 2 } + 1 \right) }\). Express \(\mathrm { f } ( x )\) in partial fractions and hence find the exact value of \(\int _ { 0 } ^ { 1 } \mathrm { f } ( x ) \mathrm { d } x\).