What is the integral from-infinity to 0 of x^2e^{-x} ?

The integral from-infinity to 0 of x^2e^{-x} is diverges

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integral from-infinity to 0 of x^2e^{-x}

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

diverges

Solution steps

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

Compute the indefinite integral:

\int x^{2} e^{- x} d x = - e^{- x} x^{2} + 2 (- e^{- x} x - e^{- x}) + C

Compute the boundaries:

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

diverges

= diverges

\frac{d}{d x} ((1 - x) e^{x})

a re a 2 y = 3 x, 2 y + 3 x = 6, y = 4

\int_{\frac{π}{2}}^{π} cos (x) d x

\int \frac{1}{e ^{x} + 4 e ^{- x}} d x

\int_{1}^{3} 2 π x (- x^{2} + 4 x - 3) d x

What is the integral from-infinity to 0 of x^2e^{-x} ?
The integral from-infinity to 0 of x^2e^{-x} is diverges