Show that $9x$ can be expressed as $A\left( 12-18x \right)+B$, where $A$ and \(

Question

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

Accepted Answer

(ii) $\frac{2}{3}\pi$

2022 VJC Promo Q10 [Modified]

2022 VJC Promo Q10 [Modified]

Video Solution:

Solution:

Solution locked