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

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

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

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

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

Solution steps

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

Apply Integration By Parts

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

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

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

Simplify

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

Add a constant to the solution

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

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