2023 HCI P1 Q4

Without the use of a calculator, show that

\(\displaystyle\displaystyle \displaystyle\int_{-2}^{2}{\frac{\left| x-2 \right|}{{{x}^{2}}-2x+4}\mathrm{d}x=p\ln 3+q\pi }\),

where \(p\) and \(q\) are exact real constants to be determined.[6]