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Popular >

integral of e^x 1/x

Solution

\int e^{x} \frac{1}{x} d 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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tangent of-3-3x^2 tangent of

- 3 - 3 x^{2}

derivative of f(x)=(3-2x-x^2)/(x^2-1)derivative of

f (x) = \frac{3 - 2 x - x ^{2}}{x ^{2} - 1}

Frequently Asked Questions (FAQ)

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