| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2013 |
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| Session | November |
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| Topic | Standard Integrals and Reverse Chain Rule |
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2 A curve has equation \(y = \mathrm { f } ( x )\). It is given that \(\mathrm { f } ^ { \prime } ( x ) = x ^ { - \frac { 3 } { 2 } } + 1\) and that \(\mathrm { f } ( 4 ) = 5\). Find \(\mathrm { f } ( x )\).