Moderate -0.3 This is a straightforward integration question requiring students to integrate a polynomial plus a power of x (x^{-2}), then substitute limits. The algebraic manipulation of the result involves surds but is routine. Slightly easier than average as it's a 'show that' question with a clear target and uses standard AS integration techniques.
Given that
$$f(x) = 2x + 3 + \frac{12}{x^2}, \quad x > 0$$
show that $\int_1^{2\sqrt{2}} f(x)\,dx = 16 + 3\sqrt{2}$
[5]
\hfill \mbox{\textit{Edexcel AS Paper 1 Q5 [5]}}