Question Number 109220 by mathmax by abdo last updated on 22/Aug/20
$$\mathrm{calculate}\:\:\mathrm{I}_{\mathrm{n}} =\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\frac{\mathrm{cos}\left(\mathrm{nx}\right)}{\mathrm{cosx}\:+\mathrm{sinx}}\mathrm{dx}\:\:\left(\mathrm{n}\rightarrow\mathrm{natural}\right) \\ $$