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