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

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

Popular >

integral of e^{2/t}

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

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

Solution steps

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

Apply Integration By Parts

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

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

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

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

Add a constant to the solution

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

\int sin^{3} (5 x) cos (5 x) d x

\int_{1}^{2} x 3^{(x^{2})} d x

(x^{2} + y^{2}) d x + x y d y = 0

\frac{\partial}{\partial x} (- y sin (x ln (y)) ln (y))

x \to e lim (- 11 - 12)

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