| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2019 |
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| Session | March |
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| Topic | Standard Integrals and Reverse Chain Rule |
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2 A curve with equation \(y = \mathrm { f } ( x )\) passes through the points \(( 0,2 )\) and \(( 3 , - 1 )\). It is given that \(\mathrm { f } ^ { \prime } ( x ) = k x ^ { 2 } - 2 x\), where \(k\) is a constant. Find the value of \(k\).