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

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

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

integral

\frac{e ^{x}}{x ^{2}}

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

Solution steps

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

e^{\frac{- x}{2}}

(\frac{x - 1}{x})^{2}

t^{3} + 3 t^{2} - 2 t + t^{- 1}

\frac{1}{tan ( x )}

\frac{x}{81 x ^{4} - 1}

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