What is the integral of e^x 1/(x^2) ?

The integral of e^x 1/(x^2) is -(e^x)/x+\Ei(x)+C

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integral of e^x 1/(x^2)

\int e^{x} \frac{1}{x ^{2}} d x

- \frac{e ^{x}}{x} + Ei (x) + C

Solution steps

\int e^{x} \frac{1}{x ^{2}} d x

Apply Integration By Parts

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

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

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

= - \frac{e ^{x}}{x} - (- Ei (x))

Simplify

= - \frac{e ^{x}}{x} + Ei (x)

Add a constant to the solution

= - \frac{e ^{x}}{x} + Ei (x) + C

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What is the integral of e^x 1/(x^2) ?
The integral of e^x 1/(x^2) is -(e^x)/x+\Ei(x)+C