Easy -1.2 This is a straightforward integration question requiring only the power rule and using a point to find the constant of integration. It's a routine 3-mark question with no problem-solving element—purely mechanical application of basic integration techniques, making it easier than average.
The function f is such that $\mathrm{f}'(x) = 5 - 2x^2$ and $(3, 5)$ is a point on the curve $y = \mathrm{f}(x)$. Find $\mathrm{f}(x)$. [3]
\hfill \mbox{\textit{CAIE P1 2015 Q1 [3]}}