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

The integral from 0 to infinity of ce^{-x} is c

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integral from 0 to infinity of ce^{-x}

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

c

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

= 0 - (- c)

Simplify

= c

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What is the integral from 0 to infinity of ce^{-x} ?
The integral from 0 to infinity of ce^{-x} is c