Question Number 33507 by MJS last updated on 18/Apr/18
$$\int\frac{\mathrm{2cos}\:{x}}{\mathrm{3}−\mathrm{cos}\:\mathrm{2}{x}}{dx}=? \\ $$
Answered by math1967 last updated on 18/Apr/18
$$\int\frac{\mathrm{2}{cosx}}{\mathrm{3}−\mathrm{1}+\mathrm{2}{sin}^{\mathrm{2}} {x}}{dx} \\ $$$$\int\frac{\mathrm{2}{cosx}}{\mathrm{2}\left(\mathrm{1}+{sin}^{\mathrm{2}} {x}\right)}{dx} \\ $$$$\int\frac{{d}\left({sinx}\right)}{\mathrm{1}+{sin}^{\mathrm{2}} {x}} \\ $$$$\mathrm{tan}^{−\mathrm{1}} {sinx}\:+{c} \\ $$
Commented by MJS last updated on 18/Apr/18
$$\mathrm{thank}\:\mathrm{you} \\ $$