What is the integral from-infinity to-6 of xe^x ?

The integral from-infinity to-6 of xe^x is -7/(e^6)

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integral from-infinity to-6 of xe^x

\int_{- \infty}^{- 6} x e^{x} d x

- \frac{7}{e ^{6}}

Decimal

- 0.01735 \dots

Solution steps

\int_{- \infty}^{- 6} 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}^{- 6} x e^{x} d x = - \frac{7}{e ^{6}} - 0

= - \frac{7}{e ^{6}} - 0

Simplify

= - \frac{7}{e ^{6}}

What is the integral from-infinity to-6 of xe^x ?
The integral from-infinity to-6 of xe^x is -7/(e^6)