What is the integral from-2 to 2 of xe^{-x} ?

The integral from-2 to 2 of xe^{-x} is -3/(e^2)-e^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-2 to 2 of xe^{-x}

\int_{- 2}^{2} x e^{- x} d x

- \frac{3}{e ^{2}} - e^{2}

Decimal

- 7.79506 \dots

Solution steps

\int_{- 2}^{2} x e^{- x} d x

Apply Integration By Parts

: [- e^{- x} x - \int - e^{- x} d x]_{- 2}^{2}

= [- e^{- x} x - \int - e^{- x} d x]_{- 2}^{2}

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

= [- e^{- x} x - e^{- x}]_{- 2}^{2}

Compute the boundaries:

- \frac{3}{e ^{2}} - e^{2}

= - \frac{3}{e ^{2}} - e^{2}

\int_{- 2}^{1} \frac{1}{( 1 + 5 x ) ^{3}} d x

\int_{1}^{4} (x - 1)^{2} d x

\int_{1}^{3} - x + 4 d x

\int_{0}^{0.8} x \cdot e^{x} d x

\int_{0}^{1} (x e^{2 x}) d x

What is the integral from-2 to 2 of xe^{-x} ?
The integral from-2 to 2 of xe^{-x} is -3/(e^2)-e^2