Easy -1.2 This is a straightforward integration question requiring only basic power rule application and using a point to find the constant of integration. It involves routine manipulation of negative powers with no problem-solving insight needed, making it easier than average.
2 A curve is such that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = - \frac { 8 } { x ^ { 3 } } - 1\) and the point \(( 2,4 )\) lies on the curve. Find the equation of the curve.
2 A curve is such that $\frac { \mathrm { d } y } { \mathrm {~d} x } = - \frac { 8 } { x ^ { 3 } } - 1$ and the point $( 2,4 )$ lies on the curve. Find the equation of the curve.
\hfill \mbox{\textit{CAIE P1 2012 Q2 [4]}}