What is the integral from-infinity to-1 of e^{5x} ?

The integral from-infinity to-1 of e^{5x} is 1/(5e^5)

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integral from-infinity to-1 of e^{5x}

\int_{- \infty}^{- 1} e^{5 x} d x

\frac{1}{5 e ^{5}}

Solution steps

\int_{- \infty}^{- 1} e^{5 x} d x

Compute the indefinite integral:

\int e^{5 x} d x = \frac{1}{5} e^{5 x} + C

Compute the boundaries:

\int_{- \infty}^{- 1} e^{5 x} d x = \frac{1}{5 e ^{5}} - 0

= \frac{1}{5 e ^{5}} - 0

Simplify

= \frac{1}{5 e ^{5}}

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What is the integral from-infinity to-1 of e^{5x} ?
The integral from-infinity to-1 of e^{5x} is 1/(5e^5)