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人気のある微分積分 >

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

解

\int_{0}^{\infty} e^{- \frac{x}{a}} d x

解

a

解答ステップ

\int_{0}^{\infty} e^{- \frac{x}{a}} d x

不定積分を計算する:

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

限度を計算する:

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

= 0 - (- a)

簡素化

= a

人気の例

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