What is the integral from-infinity to 0 of 2e^{-3x} ?

The integral from-infinity to 0 of 2e^{-3x} is diverges

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integral from-infinity to 0 of 2e^{-3x}

\int_{- \infty}^{0} 2 e^{- 3 x} d x

diverges

Solution steps

\int_{- \infty}^{0} 2 e^{- 3 x} d x

Compute the indefinite integral:

\int 2 e^{- 3 x} d x = - \frac{2}{3} e^{- 3 x} + C

Compute the boundaries:

\int_{- \infty}^{0} 2 e^{- 3 x} d x =

diverges

= diverges

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What is the integral from-infinity to 0 of 2e^{-3x} ?
The integral from-infinity to 0 of 2e^{-3x} is diverges