| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2022 |
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| Session | March |
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| Topic | Standard Integrals and Reverse Chain Rule |
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1 A curve with equation \(y = \mathrm { f } ( x )\) is such that \(\mathrm { f } ^ { \prime } ( x ) = 2 x ^ { - \frac { 1 } { 3 } } - x ^ { \frac { 1 } { 3 } }\). It is given that \(\mathrm { f } ( 8 ) = 5\).
Find \(\mathrm { f } ( x )\).