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

The integral from 0 to infinity of e^{tx-x} is Undefined-1/(t-1)

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

\int_{0}^{\infty} e^{t x - x} d x

Undefined - \frac{1}{t - 1}

Solution steps

\int_{0}^{\infty} e^{t x - x} d x

Compute the indefinite integral:

\int e^{t x - x} d x = \frac{1}{t - 1} e^{x (t - 1)} + C

Compute the boundaries:

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

Undefined

- \frac{1}{t - 1}

= Undefined - \frac{1}{t - 1}

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What is the integral from 0 to infinity of e^{tx-x} ?
The integral from 0 to infinity of e^{tx-x} is Undefined-1/(t-1)