Question Number 131816 by mathmax by abdo last updated on 08/Feb/21
$$\mathrm{calculate}\:\int_{−\infty} ^{\infty} \:\frac{\mathrm{cos}\left(\mathrm{x}^{\mathrm{n}} \right)}{\mathrm{1}+\mathrm{x}^{\mathrm{n}} }\mathrm{dx}\:\:\mathrm{with}\:\mathrm{n}\geqslant\mathrm{2}\:\:\mathrm{integr} \\ $$