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Question Number 123361 by aristarque last updated on 25/Nov/20

please find the ∫(e^x /x)dx

$${please}\:{find}\:{the}\:\int\frac{{e}^{{x}} }{{x}}{dx} \\ $$

Commented by Dwaipayan Shikari last updated on 25/Nov/20

Ei(x)+C  Or  ∫(1/x)+(1/(1!))+(x/(2!))+(x^2 /(3!))+....dx=logx+(x/(1.1!))+(x^2 /(2.2!))+(x^3 /(3.3!))+..+C

$${Ei}\left({x}\right)+{C} \\ $$$${Or} \\ $$$$\int\frac{\mathrm{1}}{{x}}+\frac{\mathrm{1}}{\mathrm{1}!}+\frac{{x}}{\mathrm{2}!}+\frac{{x}^{\mathrm{2}} }{\mathrm{3}!}+....{dx}={logx}+\frac{{x}}{\mathrm{1}.\mathrm{1}!}+\frac{{x}^{\mathrm{2}} }{\mathrm{2}.\mathrm{2}!}+\frac{{x}^{\mathrm{3}} }{\mathrm{3}.\mathrm{3}!}+..+{C} \\ $$

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