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Popular Calculus >

integral of e^x*(1/x)

Solution

integral

e^{x} \cdot (\frac{1}{x})

Solution

Ei (x) + C

Solution steps

\int e^{x} \frac{1}{x} d x

Simplify

e^{x} \frac{1}{x} : \frac{e ^{x}}{x}

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

Use the nonelementary integral:

\int \frac{e ^{x}}{x} d x = Ei (x)

= Ei (x)

Add a constant to the solution

= Ei (x) + C

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral of e^x*(1/x) ?
The integral of e^x*(1/x) is \Ei(x)+C