integral from 0 to infinity of ke^{-kx}

解答

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

1

求解步骤

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

计算不定积分:

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

带入上下限计算后得:

\int_{0}^{\infty} k e^{- k x} d x = 0 - (- 1)

= 0 - (- 1)

化简

= 1

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