Question Number 123361 by aristarque last updated on 25/Nov/20
$${please}\:{find}\:{the}\:\int\frac{{e}^{{x}} }{{x}}{dx} \\ $$
Commented by Dwaipayan Shikari last updated on 25/Nov/20
$${Ei}\left({x}\right)+{C} \\ $$$${Or} \\ $$$$\int\frac{\mathrm{1}}{{x}}+\frac{\mathrm{1}}{\mathrm{1}!}+\frac{{x}}{\mathrm{2}!}+\frac{{x}^{\mathrm{2}} }{\mathrm{3}!}+….{dx}={logx}+\frac{{x}}{\mathrm{1}.\mathrm{1}!}+\frac{{x}^{\mathrm{2}} }{\mathrm{2}.\mathrm{2}!}+\frac{{x}^{\mathrm{3}} }{\mathrm{3}.\mathrm{3}!}+..+{C} \\ $$