integral from 0 to infinity of e^{-y/2}

解答

\int_{0}^{\infty} e^{- \frac{y}{2}} d y

2

求解步骤

\int_{0}^{\infty} e^{- \frac{y}{2}} d y

计算不定积分:

\int e^{- \frac{y}{2}} d y = - 2 e^{- \frac{y}{2}} + C

带入上下限计算后得:

\int_{0}^{\infty} e^{- \frac{y}{2}} d y = 0 - (- 2)

= 0 - (- 2)

化简

= 2

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