integral from-infinity to 0 of-xe^{-x^2}

Lösung

\int_{- \infty}^{0} - x e^{- x^{2}} d x

\frac{1}{2}

Dezimale

0.5

Schritte zur Lösung

\int_{- \infty}^{0} - x e^{- x^{2}} d x

Berechne das unbestimmte Integral:

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

Berechne die Grenzen:

\int_{- \infty}^{0} - x e^{- x^{2}} d x = \frac{1}{2} - 0

= \frac{1}{2} - 0

Vereinfache

= \frac{1}{2}

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