What is the integral of ye^{-y/x} ?

The integral of ye^{-y/x} is -xe^{-y/x}y-x^2e^{-y/x}+C

Popular >

integral of ye^{-y/x}

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

- x e^{- \frac{y}{x}} y - x^{2} e^{- \frac{y}{x}} + C

Solution steps

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

Apply Integration By Parts

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

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

\int - x e^{- \frac{y}{x}} d y = x^{2} e^{- \frac{y}{x}}

= - x e^{- \frac{y}{x}} y - x^{2} e^{- \frac{y}{x}}

Add a constant to the solution

= - x e^{- \frac{y}{x}} y - x^{2} e^{- \frac{y}{x}} + C

\int_{- \infty}^{0} \frac{1}{6 - 2 x} d x

\frac{d}{d x} (\frac{3}{1 - x ^{2}})

\frac{\partial}{\partial x} (\frac{M}{2 p x})

x \to 3 lim (3 x^{4} + 2 x^{2} - 5)

f (x) = (- 3 x^{2} + 2 x + 4)^{12}

What is the integral of ye^{-y/x} ?
The integral of ye^{-y/x} is -xe^{-y/x}y-x^2e^{-y/x}+C