Integral of $$$\frac{e^{x}}{x}$$$
The calculator will find the integral/antiderivative of $$$\frac{e^{x}}{x}$$$, with steps shown.
Related calculator: Integral Calculator
Solution
This integral (Exponential Integral) does not have a closed form:
$${\color{red}{\int{\frac{e^{x}}{x} d x}}} = {\color{red}{\operatorname{Ei}{\left(x \right)}}}$$
Therefore,
$$\int{\frac{e^{x}}{x} d x} = \operatorname{Ei}{\left(x \right)}$$
Add the constant of integration:
$$\int{\frac{e^{x}}{x} d x} = \operatorname{Ei}{\left(x \right)}+C$$
Answer
$$$\int \frac{e^{x}}{x}\, dx = \operatorname{Ei}{\left(x \right)} + C$$$A