integral from 0 to 6 of xe^{-x}

Lösung

\int_{0}^{6} x e^{- x} d x

- \frac{7}{e ^{6}} + 1

Dezimale

0.98264 \dots

Schritte zur Lösung

\int_{0}^{6} x e^{- x} d x

Wende die partielle Integration an

= [- e^{- x} x - \int - e^{- x} d x]_{0}^{6}

\int - e^{- x} d x = e^{- x}

= [- e^{- x} x - e^{- x}]_{0}^{6}

Berechne die Grenzen:

- \frac{7}{e ^{6}} + 1

= - \frac{7}{e ^{6}} + 1

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