What is the integral from 0 to 10 of xe^{-x} ?

The integral from 0 to 10 of xe^{-x} is -(11)/(e^{10)}+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 10 of xe^{-x}

\int_{0}^{10} x e^{- x} d x

- \frac{11}{e ^{10}} + 1

Decimal Notation

0.99950 \dots

Solution steps

\int_{0}^{10} x e^{- x} d x

Apply Integration By Parts

: [- e^{- x} x - \int - e^{- x} d x]_{0}^{10}

= [- e^{- x} x - \int - e^{- x} d x]_{0}^{10}

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

= [- e^{- x} x - e^{- x}]_{0}^{10}

Compute the boundaries:

- \frac{11}{e ^{10}} + 1

= - \frac{11}{e ^{10}} + 1

x y y^{^{'}} + y^{2} = x e^{- x}

\int_{0}^{b} e^{ux} a (b - x) d x

\int \frac{1}{x e ^{l n (x)}} d x

x \to - 1 lim (1 x^{2})

\frac{d}{d y} (y^{\frac{1}{2}})

What is the integral from 0 to 10 of xe^{-x} ?
The integral from 0 to 10 of xe^{-x} is -(11)/(e^{10)}+1