What is the integral from 0 to infinity of e^{-sx}e^{ax} ?

The integral from 0 to infinity of e^{-sx}e^{ax} is Undefined-1/(-s+a)

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integral from 0 to infinity of e^{-sx}e^{ax}

\int_{0}^{\infty} e^{- s x} e^{a x} d x

Undefined - \frac{1}{- s + a}

Solution steps

\int_{0}^{\infty} e^{- s x} e^{a x} d x

Compute the indefinite integral:

\int e^{- s x} e^{a x} d x = \frac{1}{- s + a} e^{- s x + a x} + C

Compute the boundaries:

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

Undefined

- \frac{1}{- s + a}

= Undefined - \frac{1}{- s + a}

What is the integral from 0 to infinity of e^{-sx}e^{ax} ?
The integral from 0 to infinity of e^{-sx}e^{ax} is Undefined-1/(-s+a)