integral from-infinity to infinity of te^{-t^2}

解答

\int_{- \infty}^{\infty} t e^{- t^{2}} d t

0

求解步骤

\int_{- \infty}^{\infty} t e^{- t^{2}} d t

计算不定积分:

\int t e^{- t^{2}} d t = - \frac{1}{2} e^{- t^{2}} + C

带入上下限计算后得:

\int_{- \infty}^{\infty} t e^{- t^{2}} d t = 0 - 0

= 0 - 0

化简

= 0

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