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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

\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

in t e g r a l \frac{x}{81 x ^{4} - 1}

in t e g r a l \frac{1}{( 4 - x ^{2} )}

in t e g r a l \frac{1}{( x ^{2} + x + 1 )}

in t e g r a l cos^{3} (x) - cos (x)

in t e g r a l sin (2 - 4 x)

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