What is the integral from 0 to infinity of e^{-0.4x} ?

The integral from 0 to infinity of e^{-0.4x} is 2.5

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integral from 0 to infinity of e^{-0.4x}

\int_{0}^{\infty} e^{- 0.4 x} d x

2.5

Solution steps

\int_{0}^{\infty} e^{- 0.4 x} d x

Compute the indefinite integral:

\int e^{- 0.4 x} d x = - 2.5 e^{- 0.4 x} + C

Compute the boundaries:

\int_{0}^{\infty} e^{- 0.4 x} d x = 0 - (- 2.5)

= 0 - (- 2.5)

Simplify

= 2.5

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What is the integral from 0 to infinity of e^{-0.4x} ?
The integral from 0 to infinity of e^{-0.4x} is 2.5