What is the integral from 0 to infinity of 4e^{-t} ?

The integral from 0 to infinity of 4e^{-t} is 4

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integral from 0 to infinity of 4e^{-t}

\int_{0}^{\infty} 4 e^{- t} d t

4

Solution steps

\int_{0}^{\infty} 4 e^{- t} d t

Compute the indefinite integral:

\int 4 e^{- t} d t = - 4 e^{- t} + C

Compute the boundaries:

\int_{0}^{\infty} 4 e^{- t} d t = 0 - (- 4)

= 0 - (- 4)

Simplify

= 4

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What is the integral from 0 to infinity of 4e^{-t} ?
The integral from 0 to infinity of 4e^{-t} is 4