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

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

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integral from-infinity to 0 of x*e^x

\int_{- \infty}^{0} x \cdot 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 x}{d t} = x^{2} e^{- 2 t}

\int (\frac{3 - x}{x ^{2} - 6 x + 2}) d x

\frac{d}{d x} (cos (\frac{π x}{4}))

f (x) = x^{2}, at x = - 3

x \to 4 lim (\frac{x ^{q (x)} ( 4 - x )}{e ^{4 - x} - 1})

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