(i) Using a suitable substitution, find, using calculus, the value of $$\[ \int_{1}^{5} \frac{3 x}{\sqrt{2 x-1}} \mathrm{~d} x \]$$ (Solutions relying entirely on calculator technology are not acceptable.) (6) (ii) Find $$\[ \int \frac{6 x^{2}-16}{(x+1)(2 x-3)} d x \]$$ (6)

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