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

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

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

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

diverges

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

diverges

= diverges

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\int_{1}^{2} - x^{3} + 3 x^{2} - 2 x d x

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