Question Number 52484 by Tawa1 last updated on 08/Jan/19
$$\int\:\:\frac{\mathrm{cos}\:\mathrm{x}\:−\:\mathrm{x}\:\mathrm{sin}\:\mathrm{x}}{\mathrm{x}\:\mathrm{cos}\:\mathrm{x}}\:\:\mathrm{dx} \\ $$
Answered by tanmay.chaudhury50@gmail.com last updated on 08/Jan/19
$$\int\frac{{dx}}{{x}}−\int{tanxdx} \\ $$$${lnx}−{lnsecx}+{c} \\ $$
Commented by Tawa1 last updated on 08/Jan/19
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\ $$
Answered by malwaan last updated on 09/Jan/19
$$\int\frac{\mathrm{dx}}{\mathrm{x}}\:−\int\mathrm{tanxdx} \\ $$$$=\mathrm{ln}\mid\mathrm{x}\mid+\mathrm{ln}\mid\mathrm{cosx}\mid+\mathrm{c} \\ $$