What is the integral of [x*e^{-x}] ?

The integral of [x*e^{-x}] is -e^{-x}x-e^{-x}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of [x*e^{-x}]

\int [x \cdot e^{- x}] d x

- e^{- x} x - e^{- x} + C

Solution steps

\int x e^{- x} d x

Apply Integration By Parts

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

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

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

= - e^{- x} x - e^{- x}

Add a constant to the solution

= - e^{- x} x - e^{- x} + C

\int 1 - 2 t d t

\int (x^{2} - 5 x) d x

\int \frac{1}{a ^{2} - 1} d a

\int t cosh (t) d t

What is the integral of [x*e^{-x}] ?
The integral of [x*e^{-x}] is -e^{-x}x-e^{-x}+C