| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2021 |
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| Session | June |
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| Topic | Standard Integrals and Reverse Chain Rule |
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1 The equation of a curve is such that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 3 } { x ^ { 4 } } + 32 x ^ { 3 }\). It is given that the curve passes through the point \(\left( \frac { 1 } { 2 } , 4 \right)\).
Find the equation of the curve.