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

The integral from-infinity to-1 of e^{-x} is diverges

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integral from-infinity to-1 of e^{-x}

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

diverges

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 =

diverges

= diverges

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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 diverges