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

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

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

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

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

Solution steps

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

Apply Integration By Parts

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

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

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

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

Simplify

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

Add a constant to the solution

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

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