| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2022 |
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| Session | June |
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| Topic | Integration by Substitution |
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3 The equation of a curve is such that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 3 ( 4 x - 7 ) ^ { \frac { 1 } { 2 } } - 4 x ^ { - \frac { 1 } { 2 } }\). It is given that the curve passes through the point \(\left( 4 , \frac { 5 } { 2 } \right)\).
Find the equation of the curve.