3.67: Exact integral 23(x+2)2xdx\int_{2}^{3}\dfrac{(x + 2)^{2}}{x}\,\mathrm{d}x

0606/22/O/N/23 — Question 6 · 6 marks

Find the exact value of 23(x+2)2xdx\displaystyle\int_{2}^{3}\dfrac{(x + 2)^{2}}{x}\,\mathrm{d}x.
[6]