What is the integral from-infinity to 0 of xe^x ?

The integral from-infinity to 0 of xe^x is -1

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integral from-infinity to 0 of xe^x

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

- 1

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

\int_{- \infty}^{0} x e^{x} d x = - 1 - 0

= - 1 - 0

Simplify

= - 1

\frac{d}{d x} ((x + h)^{3})

\frac{\partial}{\partial x} (2 x y^{3} cos (x^{2} y^{3}))

\frac{\partial}{\partial y} (3 tan (x y))

\frac{d y}{d x} = 3 (y^{2} + 1)

\frac{\partial}{\partial x} (2 x y e^{x y^{2}})

What is the integral from-infinity to 0 of xe^x ?
The integral from-infinity to 0 of xe^x is -1