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

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

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integral from-infinity to-1 of e^x

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

\frac{1}{e}

Decimal Notation

0.36787 \dots

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

= \frac{1}{e} - 0

Simplify

= \frac{1}{e}

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