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

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

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

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

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

Solution steps

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

Apply Integration By Parts

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

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

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

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

Simplify

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

Add a constant to the solution

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

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