Moderate -0.8 This is a straightforward integration question requiring only basic polynomial integration and using a boundary condition to find the constant. It involves routine application of standard techniques with no problem-solving insight needed, making it easier than average but not trivial since it requires correct execution of integration and substitution.
11 The gradient of a curve is given by \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 3 - x ^ { 2 }\). The curve passes through the point \(( 6,1 )\). Find the equation of the curve.
11 The gradient of a curve is given by $\frac { \mathrm { d } y } { \mathrm {~d} x } = 3 - x ^ { 2 }$. The curve passes through the point $( 6,1 )$. Find the equation of the curve.
\hfill \mbox{\textit{OCR MEI C2 Q11 [4]}}