What is the integral from-8 to infinity of-e^{-x} ?

The integral from-8 to infinity of-e^{-x} is -e^8

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integral from-8 to infinity of-e^{-x}

\int_{- 8}^{\infty} - e^{- x} d x

- e^{8}

Decimal Notation

- 2980.95798 \dots

Solution steps

\int_{- 8}^{\infty} - e^{- x} d x

Compute the indefinite integral:

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

Compute the boundaries:

\int_{- 8}^{\infty} - e^{- x} d x = 0 - e^{8}

= 0 - e^{8}

Simplify

= - e^{8}

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What is the integral from-8 to infinity of-e^{-x} ?
The integral from-8 to infinity of-e^{-x} is -e^8