What is the integral from-infinity to 0 of (x+1)e^x ?

The integral from-infinity to 0 of (x+1)e^x is 0

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integral from-infinity to 0 of (x+1)e^x

\int_{- \infty}^{0} (x + 1) e^{x} d x

0

Solution steps

\int_{- \infty}^{0} (x + 1) e^{x} d x

Compute the indefinite integral:

\int (x + 1) e^{x} d x = e^{x} x + C

Compute the boundaries:

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

= 0 - 0

Simplify

= 0

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