| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2023 |
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| Session | November |
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| Topic | Standard Integrals and Reverse Chain Rule |
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1 A curve is such that its gradient at a point \(( x , y )\) is given by \(\frac { \mathrm { d } y } { \mathrm {~d} x } = x - 3 x ^ { - \frac { 1 } { 2 } }\). It is given that the curve passes through the point \(( 4,1 )\).
Find the equation of the curve.