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

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

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integral from-infinity to 0 of e^xx

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

- 1

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

= - 1 - 0

Simplify

= - 1

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