Question Number 169548 by mathlove last updated on 02/May/22
Commented by infinityaction last updated on 02/May/22
$$\int\frac{{x}}{\mathrm{2cos}\:^{\mathrm{2}} {x}/\mathrm{2}}{dx}\:+\:\int\frac{\mathrm{2sin}\:{x}/\mathrm{2}\:\mathrm{cos}\:{x}/\mathrm{2}}{\mathrm{2cos}\:^{\mathrm{2}} {x}/\mathrm{2}}{dx} \\ $$$$\underset{{by}\:{parts}\:} {\underbrace{\frac{\mathrm{1}}{\mathrm{2}}\int{x}\mathrm{sec}\:^{\mathrm{2}} {x}/\mathrm{2}\:{dx}}}\:+\:\int\mathrm{tan}\:{x}/\mathrm{2}\:{dx} \\ $$$${be}\:{continued} \\ $$$$ \\ $$