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)

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

- \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

\frac{d}{d x} (\frac{e ^{2 x - 1}}{( x ^{2} + 5 x )})

1 + 4 - x

\frac{1}{4 y}

2 y d x + x d y = 0

\int \frac{( x ^{2} + 1 )}{x + 1} d x

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