2022 VJC Promo Q10 [Modified]
(a)
(i) Show that $9x$ can be expressed as $A\left( 12-18x \right)+B$, where $A$ and $B$ are constants to be determined.
[1]
(ii) Without the use of a calculator, find $\int_{\frac{1}{3}}^{1}{\frac{9x}{\sqrt{12x-9{{x}^{2}}}}\,\text{d}x}$.
[4]
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