Question Number 176133 by cortano1 last updated on 13/Sep/22
$$\:\:\Omega\:=\:\int\:\frac{−\mathrm{7x}^{\mathrm{2}} +\mathrm{3x}−\mathrm{8}}{\mathrm{4x}^{\mathrm{3}} +\mathrm{8x}^{\mathrm{2}} −\mathrm{20x}−\mathrm{24}}\:\mathrm{dx} \\ $$
Answered by kapoorshah last updated on 13/Sep/22
$$\Omega\:=\:\:−\mathrm{2ln}\:\mid{x}\:+\:\mathrm{3}\mid\:+\:\frac{\mathrm{3}}{\mathrm{4}}\mathrm{ln}\:\mid{x}\:+\:\mathrm{1}\mid\:−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{ln}\:\mid{x}\:−\:\mathrm{2}\mid\:+\:{c} \\ $$