What is the integral of-(e^x)/x ?

The integral of-(e^x)/x is -\Ei(x)+C

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integral of-(e^x)/x

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

- Ei (x) + C

Solution steps

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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d 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

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