What is the integral of e^{2/y} ?

The integral of e^{2/y} is e^{2/y}y-2\Ei(2/y)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^{2/y}

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

e^{\frac{2}{y}} y - 2 Ei (\frac{2}{y}) + C

Solution steps

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

Apply Integration By Parts

: e^{\frac{2}{y}} y - \int - \frac{2 e ^{\frac{2}{y}}}{y} d y

= e^{\frac{2}{y}} y - \int - \frac{2 e ^{\frac{2}{y}}}{y} d y

\int - \frac{2 e ^{\frac{2}{y}}}{y} d y = 2 Ei (\frac{2}{y})

= e^{\frac{2}{y}} y - 2 Ei (\frac{2}{y})

Add a constant to the solution

= e^{\frac{2}{y}} y - 2 Ei (\frac{2}{y}) + C

\int \frac{1}{( u ) ^{\frac{1}{2}}} d u

\int (x^{3} + 8) d x

\int x^{3} (2 - 5 x^{3})^{5} d x

\int 5 arctan (5 y) d y

\int 6 sin (4 x) d x

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