What is the integral of xe^{-x/(10)} ?

The integral of xe^{-x/(10)} is -10e^{-x/(10)}x-100e^{-x/(10)}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of xe^{-x/(10)}

\int x e^{- \frac{x}{10}} d x

- 10 e^{- \frac{x}{10}} x - 100 e^{- \frac{x}{10}} + C

Solution steps

\int x e^{- \frac{x}{10}} d x

Apply Integration By Parts

= - 10 e^{- \frac{x}{10}} x - \int - 10 e^{- \frac{x}{10}} d x

\int - 10 e^{- \frac{x}{10}} d x = 100 e^{- \frac{x}{10}}

= - 10 e^{- \frac{x}{10}} x - 100 e^{- \frac{x}{10}}

Add a constant to the solution

= - 10 e^{- \frac{x}{10}} x - 100 e^{- \frac{x}{10}} + C

What is the integral of xe^{-x/(10)} ?
The integral of xe^{-x/(10)} is -10e^{-x/(10)}x-100e^{-x/(10)}+C