Easy -1.3 This is a straightforward integration question requiring only the power rule and finding a constant using initial conditions. It's a standard C1 exercise with minimal steps: integrate, apply boundary condition, substitute x=2. No problem-solving or conceptual insight needed beyond basic technique.
4. Given that
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = 2 x ^ { 3 } + 1 ,$$
and that \(y = 3\) when \(x = 0\), find the value of \(y\) when \(x = 2\).
4. Given that
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = 2 x ^ { 3 } + 1 ,$$
and that $y = 3$ when $x = 0$, find the value of $y$ when $x = 2$.\\
\hfill \mbox{\textit{Edexcel C1 Q4 [6]}}