Moderate -0.8 This is a straightforward integration question requiring only basic polynomial integration and using a boundary condition to find the constant. It's simpler than average A-level questions as it involves routine application of a single technique with no problem-solving or conceptual challenges.
7 The gradient of a curve \(y = \mathrm { f } ( x )\) is given by \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 3 x ^ { 2 } - 10 x + 6\). The curve passes through the point \(( 2,3 )\) Find the equation of the curve.
7 The gradient of a curve $y = \mathrm { f } ( x )$ is given by $\frac { \mathrm { d } y } { \mathrm {~d} x } = 3 x ^ { 2 } - 10 x + 6$. The curve passes through the point $( 2,3 )$ Find the equation of the curve.
\hfill \mbox{\textit{OCR MEI C2 Q7 [5]}}