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

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

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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

\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

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