| Exam Board | OCR |
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| Module | FP2 (Further Pure Mathematics 2) |
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| Year | 2012 |
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| Session | January |
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| Topic | Integration using inverse trig and hyperbolic functions |
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2 By first completing the square in the denominator, find the exact value of
$$\int _ { \frac { 1 } { 2 } } ^ { \frac { 3 } { 2 } } \frac { 1 } { 4 x ^ { 2 } - 4 x + 5 } \mathrm {~d} x$$