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Question Number 163828 by milandou last updated on 11/Jan/22

\int \frac{e^{x}}{x}

Answered by Ar Brandon last updated on 11/Jan/22

= \int \underset{n = 0}{\sum^{\infty}} \frac{x^{n - 1}}{n!} d x = \int (\frac{1}{x} + \underset{n = 1}{\sum^{\infty}} \frac{x^{n - 1}}{n!}) d x

= \ln x + \underset{n = 1}{\sum^{\infty}} \frac{x^{n}}{n (n!)} + C

Answered by essojean last updated on 20/Jan/22

\int \frac{e^{x}}{x} = E i (x) + c

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