What is the integral of xe^{-x/(100)} ?

The integral of xe^{-x/(100)} is -100e^{-x/(100)}x-10000e^{-x/(100)}+C

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integral of xe^{-x/(100)}

\int x e^{- \frac{x}{100}} d x

- 100 e^{- \frac{x}{100}} x - 10000 e^{- \frac{x}{100}} + C

Solution steps

\int x e^{- \frac{x}{100}} d x

Apply Integration By Parts

: - 100 e^{- \frac{x}{100}} x - \int - 100 e^{- \frac{x}{100}} d x

= - 100 e^{- \frac{x}{100}} x - \int - 100 e^{- \frac{x}{100}} d x

\int - 100 e^{- \frac{x}{100}} d x = 10000 e^{- \frac{x}{100}}

= - 100 e^{- \frac{x}{100}} x - 10000 e^{- \frac{x}{100}}

Add a constant to the solution

= - 100 e^{- \frac{x}{100}} x - 10000 e^{- \frac{x}{100}} + C

\frac{\partial}{\partial y} (9 x y)

e^{- t} \cdot sin (2 t)

\int \frac{x ^{2}}{x ^{2} + 6 x + 10} d x

x \to 0 + lim (x^{14} ln (x))

f (x) = - sin (2 x) \cdot 2

What is the integral of xe^{-x/(100)} ?
The integral of xe^{-x/(100)} is -100e^{-x/(100)}x-10000e^{-x/(100)}+C