What is the integral from 0 to infinity of e^{-0.1t} ?

The integral from 0 to infinity of e^{-0.1t} is 10

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integral from 0 to infinity of e^{-0.1t}

\int_{0}^{\infty} e^{- 0.1 t} d t

10

Solution steps

\int_{0}^{\infty} e^{- 0.1 t} d t

Compute the indefinite integral:

\int e^{- 0.1 t} d t = - 10 e^{- 0.1 t} + C

Compute the boundaries:

\int_{0}^{\infty} e^{- 0.1 t} d t = 0 - (- 10)

= 0 - (- 10)

Simplify

= 10

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What is the integral from 0 to infinity of e^{-0.1t} ?
The integral from 0 to infinity of e^{-0.1t} is 10